메뉴 건너뛰기




Volumn 63, Issue 4, 2000, Pages 607-667

An introduction to conformal field theory

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL ANALYSIS;

EID: 0033925432     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/63/4/203     Document Type: Article
Times cited : (87)

References (201)
  • 1
    • 0001588392 scopus 로고
    • Integrals of motion in scaling three states Potts model field theory
    • Zamolodchikov A B 1988 Integrals of motion in scaling three states Potts model field theory Int. J. Mod. Phys. A 3 743
    • (1988) Int. J. Mod. Phys. A , vol.3 , pp. 743
    • Zamolodchikov, A.B.1
  • 2
    • 33645929032 scopus 로고
    • Factorized S matrices in two dimensions as the exact solutions of certain relativistic quantum field models
    • Zamolodchikov A B and Zamolodchikov A B 1979 Factorized S matrices in two dimensions as the exact solutions of certain relativistic quantum field models Ann. Phys. 120 253
    • (1979) Ann. Phys. , vol.120 , pp. 253
    • Zamolodchikov, A.B.1    Zamolodchikov, A.B.2
  • 3
    • 0014928682 scopus 로고
    • Conformal symmetry of critical fluctuations
    • Polyakov AM 1970 Conformal symmetry of critical fluctuations JETP Lett. 12381
    • (1970) JETP Lett. , vol.12 , pp. 381
    • Polyakov, A.M.1
  • 4
    • 0010882054 scopus 로고
    • Infinite conformal symmetry in two-dimensional quantum field theory
    • Belavin A A, Polyakov A M and Zamolodchikov A B 1984 Infinite conformal symmetry in two-dimensional quantum field theory Nucl. Phys. B 241 333
    • (1984) Nucl. Phys. B , vol.241 , pp. 333
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 7
    • 8644257680 scopus 로고
    • Dirichlet-branes and Ramond-Ramond charges
    • Polchinski J 1995 Preprint hep-th/9510017
    • Poichinski J 1995 Dirichlet-branes and Ramond-Ramond charges Phys. Rev. Lett. 75 4724 (Polchinski J 1995 Preprint hep-th/9510017)
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4724
    • Poichinski, J.1
  • 8
    • 24544453124 scopus 로고
    • Boundary conditions, fusion rules and the Verlinde formula
    • Cardy J L 1989 Boundary conditions, fusion rules and the Verlinde formula Nucl. Phys. B 324 581
    • (1989) Nucl. Phys. B , vol.324 , pp. 581
    • Cardy, J.L.1
  • 9
    • 0001260978 scopus 로고
    • Sewing constraints for conformal field theories on surfaces with boundaries
    • Lewellen D 1992 Sewing constraints for conformal field theories on surfaces with boundaries Nucl. Phys. B 372 654
    • (1992) Nucl. Phys. B , vol.372 , pp. 654
    • Lewellen, D.1
  • 10
    • 0000747087 scopus 로고
    • Bulk and boundary operators in conformal field theory
    • Cardy J L and Lewellen D 1991 Bulk and boundary operators in conformal field theory Phys. Lett. B 259 274
    • (1991) Phys. Lett. B , vol.259 , pp. 274
    • Cardy, J.L.1    Lewellen, D.2
  • 11
    • 0000173477 scopus 로고
    • Meromorphic conformal field theory
    • ed V G Kac (Singapore: World Scientific)
    • Goddard P 1989 Meromorphic conformal field theory Infinite Dimensional Lie Algebras and Lie Groups ed V G Kac (Singapore: World Scientific) p 556
    • (1989) Infinite Dimensional Lie Algebras and Lie Groups , pp. 556
    • Goddard, P.1
  • 12
    • 0001056693 scopus 로고
    • Vertex algebras, Kac-Moody algebras, and the monster
    • Borcherds R 1986 Vertex algebras, Kac-Moody algebras, and the monster Proc. Natl Acad. Sci. USA 83 3068
    • (1986) Proc. Natl Acad. Sci. USA , vol.83 , pp. 3068
    • Borcherds, R.1
  • 13
    • 0040661449 scopus 로고
    • Monstrous moonshine and monstrous Lie superalgebras
    • Borcherds R 1992 Monstrous moonshine and monstrous Lie superalgebras Inv. Math. 109 405
    • (1992) Inv. Math. , vol.109 , pp. 405
    • Borcherds, R.1
  • 15
    • 0002668119 scopus 로고
    • On axiomatic approaches to vertex operator algebras and modules
    • Frenkel I, Huang Y-Z and Lepowsky J 1993 On axiomatic approaches to vertex operator algebras and modules Mem. Am. Math. Soc. 104 1
    • (1993) Mem. Am. Math. Soc. , vol.104 , pp. 1
    • Frenkel, I.1    Huang, Y.-Z.2    Lepowsky, J.3
  • 16
    • 0030551014 scopus 로고    scopus 로고
    • Vertex operator algebras, elliptic functions and modular forms
    • Zhu Y 1996 Vertex operator algebras, elliptic functions and modular forms J. Am. Math. Soc. 9 237
    • (1996) J. Am. Math. Soc. , vol.9 , pp. 237
    • Zhu, Y.1
  • 17
  • 19
    • 0008985988 scopus 로고
    • Operator algebras and conformal field theory
    • Basle: Birkhäuser
    • Wassermann A J 1995 Operator algebras and conformal field theory Proc. ICM (Zürich, 1994) (Basle: Birkhäuser) p 966
    • (1995) Proc. ICM (Zürich, 1994) , pp. 966
    • Wassermann, A.J.1
  • 20
    • 0006707360 scopus 로고
    • Operator algebras and conformal field theory
    • Gabbiani F and Fröhlich J 1993 Operator algebras and conformal field theory Commun. Math. Phys. 155 569
    • (1993) Commun. Math. Phys. , vol.155 , pp. 569
    • Gabbiani, F.1    Fröhlich, J.2
  • 21
    • 24444481808 scopus 로고
    • The analytic geometry of two-dimensional conformal field theory
    • Friedan D and Shenker S 1987 The analytic geometry of two-dimensional conformal field theory Nucl. Phys. B 281 509
    • (1987) Nucl. Phys. B , vol.281 , pp. 509
    • Friedan, D.1    Shenker, S.2
  • 22
    • 0343576096 scopus 로고
    • The definition of conformal field theory unpublished
    • Segal G B 1988 The definition of conformal field theory unpublished
    • (1988)
    • Segal, G.B.1
  • 23
    • 0000541007 scopus 로고
    • Vertex operator algebras and conformal field theory
    • Huang Y-Z 1992 Vertex operator algebras and conformal field theory Int. J. Mod. Phys. A 7 2109
    • (1992) Int. J. Mod. Phys. A , vol.7 , pp. 2109
    • Huang, Y.-Z.1
  • 25
    • 45549119768 scopus 로고
    • On the Wess-Zumino-Witten models on the torus
    • Bernard D 1988 On the Wess-Zumino-Witten models on the torus Nucl. Phys. B 303 77
    • (1988) Nucl. Phys. B , vol.303 , pp. 77
    • Bernard, D.1
  • 26
    • 0010946214 scopus 로고
    • On the Wess-Zumino-Witten models on Riemann surfaces
    • Bernard D 1988 On the Wess-Zumino-Witten models on Riemann surfaces Nucl. Phys. B 309 145
    • (1988) Nucl. Phys. B , vol.309 , pp. 145
    • Bernard, D.1
  • 27
    • 21844525983 scopus 로고
    • Global vertex operators on Riemann surfaces
    • Zhu Y 1994 Global vertex operators on Riemann surfaces Commun. Math. Phys. 165 485
    • (1994) Commun. Math. Phys. , vol.165 , pp. 485
    • Zhu, Y.1
  • 28
    • 21844511548 scopus 로고
    • SU(2) WZW theory at higher genera
    • Gawedzki K 1994 Preprint hep-th/9402091
    • Gawedzki K 1995 SU(2) WZW theory at higher genera Commun. Math. Phys. 169 329 (Gawedzki K 1994 Preprint hep-th/9402091)
    • (1995) Commun. Math. Phys. , vol.169 , pp. 329
    • Gawedzki, K.1
  • 29
    • 0040543324 scopus 로고
    • Coulomb gas representation of the SU(2) WZW correlators at higher genera
    • Gawedzki K 1994 Preprint hep-th/9404012
    • Gawedzki K 1995 Coulomb gas representation of the SU(2) WZW correlators at higher genera Lett. Math. Phys. 33 335 (Gawedzki K 1994 Preprint hep-th/9404012)
    • (1995) Lett. Math. Phys. , vol.33 , pp. 335
    • Gawedzki, K.1
  • 30
    • 13844324026 scopus 로고
    • Planar duality in St/(2) WZW models
    • Pradisi G, Sagnotti A and Stanev Y S 1995 Preprint hep-th/9503207
    • Pradisi G, Sagnotti A and Stanev Y S 1995 Planar duality in St/(2) WZW models Phys. Lett. B 354 279 (Pradisi G, Sagnotti A and Stanev Y S 1995 Preprint hep-th/9503207)
    • (1995) Phys. Lett. B , vol.354 , pp. 279
    • Pradisi, G.1    Sagnotti, A.2    Stanev, Y.S.3
  • 31
    • 0000104499 scopus 로고
    • The open descendants of non-diagonal WZW models
    • Pradisi G, Sagnotti A and Stanev YS 1995 Preprint hep-th/9506014
    • Pradisi G, Sagnotti A and Stanev Y S 1995 The open descendants of non-diagonal WZW models Phys. Lett. B 356 230 (Pradisi G, Sagnotti A and Stanev YS 1995 Preprint hep-th/9506014)
    • (1995) Phys. Lett. B , vol.356 , pp. 230
    • Pradisi, G.1    Sagnotti, A.2    Stanev, Y.S.3
  • 32
    • 0033532442 scopus 로고    scopus 로고
    • Boundary structure constants for the A-series Virasoro minimal models
    • Runkel I 1998 Preprint hep-th/9811178
    • Runkel I 1999 Boundary structure constants for the A-series Virasoro minimal models Nucl. Phys. B 549 563 (Runkel I 1998 Preprint hep-th/9811178)
    • (1999) Nucl. Phys. B , vol.549 , pp. 563
    • Runkel, I.1
  • 39
    • 21144478637 scopus 로고
    • Meromorphic c = 24 conformal field theories
    • Schellekens A N 1992 Preprint hep-th/9205072
    • Schellekens A N 1993 Meromorphic c = 24 conformal field theories Commun. Math. Phys. 153 159 (Schellekens A N 1992 Preprint hep-th/9205072)
    • (1993) Commun. Math. Phys. , vol.153 , pp. 159
    • Schellekens, A.N.1
  • 40
    • 0346763470 scopus 로고
    • Classical and quantum conformal field theory
    • Moore G and Seiberg N 1989 Classical and quantum conformal field theory Commun. Math. Phys. 123 177
    • (1989) Commun. Math. Phys. , vol.123 , pp. 177
    • Moore, G.1    Seiberg, N.2
  • 41
    • 0033579774 scopus 로고    scopus 로고
    • A local logarithmic conformal field theory
    • Gaberdiel M R and Kausch H G 1998 Preprint hep-th/9807091
    • Gaberdiel M R and Kausch H G 1999 A local logarithmic conformal field theory Nucl. Phys. B 538 631 (Gaberdiel M R and Kausch H G 1998 Preprint hep-th/9807091)
    • (1999) Nucl. Phys. B , vol.538 , pp. 631
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 42
    • 0000961212 scopus 로고
    • A proof of modular invariance
    • Nahm W 1991 A proof of modular invariance Int. J. Mod. Phys. A 6 2837
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 2837
    • Nahm, W.1
  • 43
    • 0000743379 scopus 로고
    • Modular invariant partition functions in two dimensions
    • Cappelli A, Itzykson C and Zuber J-B 1987 Modular invariant partition functions in two dimensions Nucl. Phys. B 280 445
    • (1987) Nucl. Phys. B , vol.280 , pp. 445
    • Cappelli, A.1    Itzykson, C.2    Zuber, J.-B.3
  • 46
    • 0001899286 scopus 로고    scopus 로고
    • The classification of SU(3) modular invariants revisited
    • Cannon T 1994 Preprint hep-th/9404185
    • Gannon T 1996 The classification of SU(3) modular invariants revisited Ann. Poincaré 65 15 (Cannon T 1994 Preprint hep-th/9404185)
    • (1996) Ann. Poincaré , vol.65 , pp. 15
    • Gannon, T.1
  • 47
    • 0031554227 scopus 로고    scopus 로고
    • m modular invariants, N = 2 minimal models, and the quantum Hall effect
    • Gannon T 1996 Preprint hep-th/9608063
    • m modular invariants, N = 2 minimal models, and the quantum Hall effect Nucl. Phys. B 491 659 (Gannon T 1996 Preprint hep-th/9608063)
    • (1997) Nucl. Phys. B , vol.491 , pp. 659
    • Gannon, T.1
  • 48
    • 0342270816 scopus 로고    scopus 로고
    • Axiomatic conformal field theory
    • Preprint hep-th/9810019, to appear
    • Gaberdiel M R and Goddard P 1998 Axiomatic conformal field theory Preprint hep-th/9810019, Commun. Math. Phys. to appear
    • (1998) Commun. Math. Phys.
    • Gaberdiel, M.R.1    Goddard, P.2
  • 49
    • 0001922016 scopus 로고
    • On the classification of quantum W-algebras
    • Bowcock P and Watts G M T 1991 Preprint hep-th/9111062
    • Bowcock P and Watts G M T 1992 On the classification of quantum W-algebras Nucl. Phys. B 379 63 (Bowcock P and Watts G M T 1991 Preprint hep-th/9111062)
    • (1992) Nucl. Phys. B , vol.379 , pp. 63
    • Bowcock, P.1    Watts, G.M.T.2
  • 50
    • 4244137909 scopus 로고
    • The energy momentum tensor of a critical quantum field theory in 1+1 dimensions unpublished
    • Lüscher M and Mack G 1976 The energy momentum tensor of a critical quantum field theory in 1+1 dimensions unpublished
    • (1976)
    • Lüscher, M.1    Mack, G.2
  • 53
    • 0000681142 scopus 로고
    • Subsidiary conditions and ghosts in dual-resonance models
    • Virasoro M A 1970 Subsidiary conditions and ghosts in dual-resonance models Phys. Rev. D 1 2933
    • (1970) Phys. Rev. D , vol.1 , pp. 2933
    • Virasoro, M.A.1
  • 55
    • 0039183487 scopus 로고
    • General transformation formula for conformal fields
    • Gaberdiel M R 1994 Preprint hep-th/9401166
    • Gaberdiel MRA 1994 General transformation formula for conformal fields Phys. Lett. B 325 366 (Gaberdiel M R 1994 Preprint hep-th/9401166)
    • (1994) Phys. Lett. B , vol.325 , pp. 366
    • Gaberdiel, M.R.A.1
  • 56
    • 23544448210 scopus 로고
    • Consequences of anomalous Ward identities
    • Wess J and Zumino B 1971 Consequences of anomalous Ward identities Phys. Lett. B 37 95
    • (1971) Phys. Lett. B , vol.37 , pp. 95
    • Wess, J.1    Zumino, B.2
  • 57
    • 0041473823 scopus 로고
    • Non-Abelian bosonization in two dimensions
    • Witten E 1984 Non-Abelian bosonization in two dimensions Commun. Math. Phys. 92 455
    • (1984) Commun. Math. Phys. , vol.92 , pp. 455
    • Witten, E.1
  • 58
    • 0001321774 scopus 로고
    • Multivalued functions and functionals. An analogue of Morse theory
    • Novikov S P 1981 Multivalued functions and functionals. An analogue of Morse theory Sov. Math. Dokl. 24 222
    • (1981) Sov. Math. Dokl. , vol.24 , pp. 222
    • Novikov, S.P.1
  • 59
    • 33744774508 scopus 로고
    • Current algebra and Wess-Zumino model in two dimensions
    • Knizhnik V G and Zamolodchikov A B 1984 Current algebra and Wess-Zumino model in two dimensions Nucl. Phys. B 247 83
    • (1984) Nucl. Phys. B , vol.247 , pp. 83
    • Knizhnik, V.G.1    Zamolodchikov, A.B.2
  • 60
    • 34247181532 scopus 로고
    • String theory on group manifolds
    • Gepner D and Witten E 1986 String theory on group manifolds Nucl. Phys. B 278 493
    • (1986) Nucl. Phys. B , vol.278 , pp. 493
    • Gepner, D.1    Witten, E.2
  • 61
    • 84973998987 scopus 로고
    • Vertex operator algebras associated to representations of affine and Virasoro algebras
    • Frenkel IB and Zhu Y 1992 Vertex operator algebras associated to representations of affine and Virasoro algebras Duke. Math. J. 66 123
    • (1992) Duke. Math. J. , vol.66 , pp. 123
    • Frenkel, I.B.1    Zhu, Y.2
  • 62
    • 34250502334 scopus 로고
    • Simple graded algebras of finite growth
    • Kac V G 1967 Simple graded algebras of finite growth Funcl. Anal. Appl. 1 328
    • (1967) Funcl. Anal. Appl. , vol.1 , pp. 328
    • Kac, V.G.1
  • 63
    • 84968508898 scopus 로고
    • Lie algebras associated with generalized Cartan matrices
    • Moody R V 1967 Lie algebras associated with generalized Cartan matrices Bull. Am. Math. Soc. 73 217
    • (1967) Bull. Am. Math. Soc. , vol.73 , pp. 217
    • Moody, R.V.1
  • 65
    • 36049057145 scopus 로고
    • A field theory of currents
    • Sugawara H 1968 A field theory of currents Phys. Rev. 170 1659
    • (1968) Phys. Rev. , vol.170 , pp. 1659
    • Sugawara, H.1
  • 66
    • 0000965976 scopus 로고
    • Kac-Moody and Virasoro algebras in relation to quantum physics
    • Goddard P and Olive D 1986 Kac-Moody and Virasoro algebras in relation to quantum physics Int. J. Mod. Phys. A 1 303
    • (1986) Int. J. Mod. Phys. A , vol.1 , pp. 303
    • Goddard, P.1    Olive, D.2
  • 67
    • 0001105979 scopus 로고
    • Conformal invariance, unitarity and critical exponents in two dimensions
    • Friedan D, Qiu Z and Shenker S 1984 Conformal invariance, unitarity and critical exponents in two dimensions Phys. Rev. Lett. 52 1575
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1575
    • Friedan, D.1    Qiu, Z.2    Shenker, S.3
  • 68
    • 0001073962 scopus 로고
    • Contravariant form for infinite-dimensional Lie algebras and superalgebras
    • New York: Springer
    • Kac V G 1979 Contravariant form for infinite-dimensional Lie algebras and superalgebras (Lecture Notes in Physics vol 94) (New York: Springer) pp 441-5
    • (1979) Lecture Notes in Physics , vol.94 , pp. 441-445
    • Kac, V.G.1
  • 69
    • 33744720234 scopus 로고
    • Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
    • Feigin B L and Fuchs D B 1982 Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra Funcl. Anal. Appl. 16 114
    • (1982) Funcl. Anal. Appl. , vol.16 , pp. 114
    • Feigin, B.L.1    Fuchs, D.B.2
  • 70
    • 33744778995 scopus 로고
    • Virasoro algebras and coset space models
    • Goddard P, Kent A and Olive D 1985 Virasoro algebras and coset space models Phys. Lett. B 152 88
    • (1985) Phys. Lett. B , vol.152 , pp. 88
    • Goddard, P.1    Kent, A.2    Olive, D.3
  • 71
    • 0001255152 scopus 로고
    • Conformal field theory of twisted vertex operators
    • Dolan L, Goddard P and Montague P 1990 Conformal field theory of twisted vertex operators Nucl. Phys. B 338 529
    • (1990) Nucl. Phys. B , vol.338 , pp. 529
    • Dolan, L.1    Goddard, P.2    Montague, P.3
  • 72
    • 0030549715 scopus 로고    scopus 로고
    • Conformal field theories, representations and lattice constructions
    • Dolan L, Goddard P and Montague P 1996 Conformal field theories, representations and lattice constructions Commun. Math. Phys. 179 61
    • (1996) Commun. Math. Phys. , vol.179 , pp. 61
    • Dolan, L.1    Goddard, P.2    Montague, P.3
  • 73
    • 0002630015 scopus 로고
    • Basic representations of affine Lie algebras and dual resonance models
    • Frenkel I B and Kac V G 1980 Basic representations of affine Lie algebras and dual resonance models Inv. Math. 6223
    • (1980) Inv. Math. , vol.62 , pp. 23
    • Frenkel, I.B.1    Kac, V.G.2
  • 74
    • 33744722285 scopus 로고
    • Unitary representations of some infinite dimensional groups
    • Segal G 1981 Unitary representations of some infinite dimensional groups Commun. Math. Phys. 80 301
    • (1981) Commun. Math. Phys. , vol.80 , pp. 301
    • Segal, G.1
  • 76
    • 0041554226 scopus 로고
    • Infinite additional symmetries in two-dimensional conformal quantum field theory
    • Zamolodchikov A B 1985 Infinite additional symmetries in two-dimensional conformal quantum field theory Theor. Math. Phys. 65 1205
    • (1985) Theor. Math. Phys. , vol.65 , pp. 1205
    • Zamolodchikov, A.B.1
  • 79
    • 0000430618 scopus 로고
    • The models of two-dimensional conformal quantum field theory with Z(n) symmetry
    • Fateev V A and Lukyakhov S L 1988 The models of two-dimensional conformal quantum field theory with Z(n) symmetry Int. J. Mod. Phys. A 3 507
    • (1988) Int. J. Mod. Phys. A , vol.3 , pp. 507
    • Fateev, V.A.1    Lukyakhov, S.L.2
  • 80
    • 0001157392 scopus 로고
    • Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
    • Bais F A, Bouwknegt P, Surridge M and Schoutens K 1988 Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants Nucl. Phys. B 304 348
    • (1988) Nucl. Phys. B , vol.304 , pp. 348
    • Bais F, A.1    Bouwknegt, P.2    Surridge, M.3    Schoutens, K.4
  • 82
    • 0000559501 scopus 로고
    • Extended conformal algebras
    • Bouwknegt P 1988 Extended conformal algebras Phys. Lett. B 207 295
    • (1988) Phys. Lett. B , vol.207 , pp. 295
    • Bouwknegt, P.1
  • 83
    • 0001399095 scopus 로고
    • Systematic approach to conformal systems with extended Virasoro symmetries
    • Bilal A and Gervais J-L 1988 Systematic approach to conformal systems with extended Virasoro symmetries Phys. Lett. B 206 412
    • (1988) Phys. Lett. B , vol.206 , pp. 412
    • Bilal, A.1    Gervais, J.-L.2
  • 84
    • 33750491349 scopus 로고
    • Systematic construction of conformal theories with higher spin Virasoro symmetries
    • Bilal A and Gervais J-L 1989 Systematic construction of conformal theories with higher spin Virasoro symmetries Nucl. Phys. B 318 579
    • (1989) Nucl. Phys. B , vol.318 , pp. 579
    • Bilal, A.1    Gervais, J.-L.2
  • 86
    • 0002317892 scopus 로고
    • Unifying W-algebras
    • Blumenhagen R, Eholzer W, Honecker A, Hornfleck K and Hübel R 1994 Preprint hep-th/9404113
    • Blumenhagen R, Eholzer W, Honecker A, Hornfleck K and Hübel R 1994 Unifying W-algebras Phys. Lett. B 33251 (Blumenhagen R, Eholzer W, Honecker A, Hornfleck K and Hübel R 1994 Preprint hep-th/9404113)
    • (1994) Phys. Lett. B , vol.332 , pp. 51
    • Blumenhagen, R.1    Eholzer, W.2    Honecker, A.3    Hornfleck, K.4    Hübel, R.5
  • 88
    • 0000621188 scopus 로고
    • A study of W-algebras using Jacobi identities
    • Kausch H G and Watts G M T 1991 A study of W-algebras using Jacobi identities Nucl. Phys. B 354 740
    • (1991) Nucl. Phys. B , vol.354 , pp. 740
    • Kausch, H.G.1    Watts, G.M.T.2
  • 89
    • 1842706247 scopus 로고
    • Chiral algebras of two-dimensional chiral field theories and their normal ordered products
    • Singapore: World Scientific
    • Nahm W 1990 Chiral algebras of two-dimensional chiral field theories and their normal ordered products Recent Developments in Conformal Field Theories Proc. (Trieste, Oct. 1989) (Singapore: World Scientific) pp 81-4
    • (1990) Recent Developments in Conformal Field Theories Proc. (Trieste, Oct. 1989) , pp. 81-84
    • Nahm, W.1
  • 90
    • 0010795998 scopus 로고
    • W symmetry in conformal field theory
    • Bouwknegt P and Schoutens K 1992 Preprint hep-th/9210010
    • Bouwknegt P and Schoutens K 1993 W symmetry in conformal field theory Phys. Rep. 223 183 (Bouwknegt P and Schoutens K 1992 Preprint hep-th/9210010)
    • (1993) Phys. Rep. , vol.223 , pp. 183
    • Bouwknegt, P.1    Schoutens, K.2
  • 91
    • 33744755872 scopus 로고
    • Superconformal invariance in two dimensions and the tricritical Ising model
    • Friedan D, Qiu Z and Shenker S 1985 Superconformal invariance in two dimensions and the tricritical Ising model Phys. Lett. B 151 37
    • (1985) Phys. Lett. B , vol.151 , pp. 37
    • Friedan, D.1    Qiu, Z.2    Shenker, S.3
  • 92
    • 0010793893 scopus 로고
    • Supersymmetric strings and colour confinement
    • Ademollo M et al 1976 Supersymmetric strings and colour confinement Phys. Lett. B 62 105
    • (1976) Phys. Lett. B , vol.62 , pp. 105
    • Ademollo, M.1
  • 93
    • 33646075060 scopus 로고
    • Dual string with U (1) colour symmetry
    • Ademollo M et al 1976 Dual string with U (1) colour symmetry Nucl. Phys. B 111 77
    • (1976) Nucl. Phys. B , vol.111 , pp. 77
    • Ademollo, M.1
  • 94
    • 33646063370 scopus 로고
    • Phenomenology and conformal field theory or can string theory predict the weak mixing angle?
    • Banks T, Dixon L J, Friedan D and Martinec E 1988 Phenomenology and conformal field theory or can string theory predict the weak mixing angle? Nucl. Phys. B 299 613
    • (1988) Nucl. Phys. B , vol.299 , pp. 613
    • Banks, T.1    Dixon, L.J.2    Friedan, D.3    Martinec, E.4
  • 95
    • 0001567939 scopus 로고
    • Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification
    • Boucher W, Friedan D and Kent A 1986 Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification Phys. Lett. B 172 316
    • (1986) Phys. Lett. B , vol.172 , pp. 316
    • Boucher, W.1    Friedan, D.2    Kent, A.3
  • 96
    • 33646049827 scopus 로고
    • Chiral rings in N = 2 superconformal theories
    • Lerche W, Vafa C and Warner N P 1989 Chiral rings in N = 2 superconformal theories Nucl. Phys. B 324 427
    • (1989) Nucl. Phys. B , vol.324 , pp. 427
    • Lerche, W.1    Vafa, C.2    Warner, N.P.3
  • 97
    • 0039333718 scopus 로고    scopus 로고
    • Analytic expressions for singular vectors of the N = 2 superconformal algebra
    • Dörrzapf M 1996 Preprint hep-th/9601056
    • Dörrzapf M 1996 Analytic expressions for singular vectors of the N = 2 superconformal algebra Commun. Math. Phys. 180 195 (Dörrzapf M 1996 Preprint hep-th/9601056)
    • (1996) Commun. Math. Phys. , vol.180 , pp. 195
    • Dörrzapf, M.1
  • 98
    • 0000320221 scopus 로고
    • Unitary representations of the Virasoro and super-Virasoro algebras
    • Goddard P, Kent A and Olive D 1986 Unitary representations of the Virasoro and super-Virasoro algebras Commun. Math. Phys. 103 105
    • (1986) Commun. Math. Phys. , vol.103 , pp. 105
    • Goddard, P.1    Kent, A.2    Olive, D.3
  • 100
    • 25344449190 scopus 로고
    • K degeneracy in nonadditive dual resonance models
    • Mandelstam S 1973 K degeneracy in nonadditive dual resonance models Phys. Rev. D 7 3763
    • (1973) Phys. Rev. D , vol.7 , pp. 3763
    • Mandelstam, S.1
  • 101
    • 0011459656 scopus 로고
    • Simple nonadditive dual resonance model
    • Mandelstam S 1973 Simple nonadditive dual resonance model Phys. Rev. D7 3777
    • (1973) Phys. Rev. , vol.D7 , pp. 3777
    • Mandelstam, S.1
  • 102
    • 38249028728 scopus 로고
    • Coset constructions and extended conformal algebras
    • Bowcock P and Goddard P 1988 Coset constructions and extended conformal algebras Nucl. Phys. B 305 685
    • (1988) Nucl. Phys. B , vol.305 , pp. 685
    • Bowcock, P.1    Goddard, P.2
  • 103
    • 0037800724 scopus 로고
    • Unitary construction of extended conformal algebras
    • 1988
    • Goddard P and Schwimmer A 1988 Unitary construction of extended conformal algebras Phys. Lett. B 206 198862
    • (1988) Phys. Lett. B , vol.206 , pp. 62
    • Goddard, P.1    Schwimmer, A.2
  • 104
    • 0002162591 scopus 로고
    • W-algebras and coset models
    • Watts GMT 1990 W-algebras and coset models Phys. Lett. B 245 65
    • (1990) Phys. Lett. B , vol.245 , pp. 65
    • Watts, G.M.T.1
  • 105
    • 0030593103 scopus 로고    scopus 로고
    • The resolution of field identification fixed points in diagonal coset theories
    • Fuchs J, Schellekens B and Schweigert C 1995 Preprint hep-th/9509105
    • Fuchs J, Schellekens B and Schweigen C 1996 The resolution of field identification fixed points in diagonal coset theories Nucl. Phys. B 461 371 (Fuchs J, Schellekens B and Schweigert C 1995 Preprint hep-th/9509105)
    • (1996) Nucl. Phys. B , vol.461 , pp. 371
    • Fuchs, J.1    Schellekens, B.2    Schweigen, C.3
  • 108
    • 8844286949 scopus 로고
    • Modular invariance and discrete torsion on orbifolds
    • Vafa C 1986 Modular invariance and discrete torsion on orbifolds Nucl. Phys. B 273 592
    • (1986) Nucl. Phys. B , vol.273 , pp. 592
    • Vafa, C.1
  • 111
    • 0001756245 scopus 로고
    • Conformal field theory, triality and the Monster group
    • Dolan L. Goddard P and Montague P 1990 Conformal field theory, triality and the Monster group Phys. Lett. B 236 165
    • (1990) Phys. Lett. B , vol.236 , pp. 165
    • Dolan, L.1    Goddard, P.2    Montague, P.3
  • 113
    • 34250409421 scopus 로고
    • Infinite dimensional Lie algebras and Dedekind's η-function
    • Kac V G 1974 Infinite dimensional Lie algebras and Dedekind's η-function Funct. Anal. Appl. 8 68
    • (1974) Funct. Anal. Appl. , vol.8 , pp. 68
    • Kac, V.G.1
  • 115
    • 0010798477 scopus 로고
    • Polynomial equations for rational conformal field theories
    • Moore G and Seiberg N 1988 Polynomial equations for rational conformal field theories Phys. Lett. B 212451
    • (1988) Phys. Lett. B , vol.212 , pp. 451
    • Moore, G.1    Seiberg, N.2
  • 116
    • 0001033827 scopus 로고
    • Toward classification of conformal theories
    • Vafa C 1988 Toward classification of conformal theories Phys. Lett. B 206 421
    • (1988) Phys. Lett. B , vol.206 , pp. 421
    • Vafa, C.1
  • 117
    • 0000618828 scopus 로고
    • Rationality in conformal field theory
    • Anderson G and Moore G 1988 Rationality in conformal field theory Commun. Math. Phys. 117 441
    • (1988) Commun. Math. Phys. , vol.117 , pp. 441
    • Anderson, G.1    Moore, G.2
  • 118
    • 0000292099 scopus 로고
    • Vertex algebras associated with even lattices
    • Dong C 1993 Vertex algebras associated with even lattices J. Algebra 161 245
    • (1993) J. Algebra , vol.161 , pp. 245
    • Dong, C.1
  • 119
    • 0031572805 scopus 로고    scopus 로고
    • L )
    • Dong C, Li H and Mason G 1996 Preprint q-alg/9605032
    • L ) J. Algebra 196 532 (Dong C, Li H and Mason G 1996 Preprint q-alg/9605032)
    • (1997) J. Algebra , vol.196 , pp. 532
    • Dong, C.1    Li, H.2    Mason, G.3
  • 120
    • 84963036993 scopus 로고
    • Rationality of Virasoro vertex operator algebras
    • Wang W 1993 Rationality of Virasoro vertex operator algebras Int. Math. Res. Not. 7 197
    • (1993) Int. Math. Res. Not. , vol.7 , pp. 197
    • Wang, W.1
  • 123
    • 0000477528 scopus 로고
    • Conformal invariance and the Yang-Lee edge singularity in two dimensions
    • Cardy J L 1985 Conformal invariance and the Yang-Lee edge singularity in two dimensions Phys. Rev. Lett. 54 1354
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 1354
    • Cardy, J.L.1
  • 124
    • 33744755872 scopus 로고
    • Superconformal invariance in two dimensions and the tricritical Ising model
    • Friedan D, Qiu Z and Shenker S 1984 Superconformal invariance in two dimensions and the tricritical Ising model Phys. Lett. B 151 37
    • (1984) Phys. Lett. B , vol.151 , pp. 37
    • Friedan, D.1    Qiu, Z.2    Shenker, S.3
  • 125
    • 0000693811 scopus 로고
    • Fusion in conformal field theory as the tensor product of the symmetry algebra
    • Gaberdiel M R 1993 Preprint hep-th/9307183
    • Gaberdiel M R 1994 Fusion in conformal field theory as the tensor product of the symmetry algebra Int. J. Mod. Phys. A 9 4619 (Gaberdiel M R 1993 Preprint hep-th/9307183)
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 4619
    • Gaberdiel, M.R.1
  • 126
    • 0001746913 scopus 로고
    • Fusion rules of chiral algebras
    • Gaberdiel M R 1993 Preprint hep-th/9309105
    • Gaberdiel M R 1994 Fusion rules of chiral algebras Nucl. Phys. B 417 130 (Gaberdiel M R 1993 Preprint hep-th/9309105)
    • (1994) Nucl. Phys. B , vol.417 , pp. 130
    • Gaberdiel, M.R.1
  • 127
    • 0000893321 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra I
    • Huang Y-Z and Lepowsky J 1993 Preprint hep-th/9309076
    • Huang Y-Z and Lepowsky J 1995 A theory of tensor products for module categories for a vertex operator algebra I Selecta Math. (NS) 1 699 (Huang Y-Z and Lepowsky J 1993 Preprint hep-th/9309076)
    • (1995) Selecta Math. (NS) , vol.1 , pp. 699
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 128
    • 34249759387 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra II
    • Huang Y-Z and Lepowsky J 1993 Preprint hep-th/9309159
    • Huang Y-Z and Lepowsky J 1995 A theory of tensor products for module categories for a vertex operator algebra II Selecta Math. (NS) 1 757 (Huang Y-Z and Lepowsky J 1993 Preprint hep-th/9309159)
    • (1995) Selecta Math. (NS) , vol.1 , pp. 757
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 129
    • 0001645660 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra III
    • Huang Y-Z and Lepowsky J 1995 Preprint q-alg/9505018
    • Huang Y-Z and Lepowsky J 1995 A theory of tensor products for module categories for a vertex operator algebra III J. Pure Appl. Algebra 100 141 (Huang Y-Z and Lepowsky J 1995 Preprint q-alg/9505018)
    • (1995) J. Pure Appl. Algebra , vol.100 , pp. 141
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 130
    • 0001645655 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra IV
    • Huang Y-Z 1995 Preprint q-alg/9505019
    • Huang Y-Z 1995 A theory of tensor products for module categories for a vertex operator algebra IV J. Pure Appl. Algebra 100 173 (Huang Y-Z 1995 Preprint q-alg/9505019)
    • (1995) J. Pure Appl. Algebra , vol.100 , pp. 173
    • Huang, Y.-Z.1
  • 131
    • 0000115789 scopus 로고    scopus 로고
    • Fusion of twisted representations
    • Gaberdiel MR 1997 Preprint hep-th/9607036
    • Gaberdiel M R 1997 Fusion of twisted representations Int. J. Mod. Phys. A 12 5183 (Gaberdiel MR 1997 Preprint hep-th/9607036)
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 5183
    • Gaberdiel, M.R.1
  • 132
    • 0346928335 scopus 로고
    • Fusion rules in Wess-Zumino-Witten models
    • Walton M A 1990 Fusion rules in Wess-Zumino-Witten models Nucl. Phys. B 340 777
    • (1990) Nucl. Phys. B , vol.340 , pp. 777
    • Walton, M.A.1
  • 133
  • 134
    • 0001026682 scopus 로고
    • WZW fusion rules, quantum groups, and the modular matrix
    • Fuchs J and van Driel P 1990 WZW fusion rules, quantum groups, and the modular matrix S Nucl. Phys. B 346 632
    • (1990) S Nucl. Phys. B , vol.346 , pp. 632
    • Fuchs, J.1    Van Driel, P.2
  • 135
    • 0000199288 scopus 로고
    • 2 Toda theory in reduced WZNW framework and the representations of the W-algebra
    • 2 Toda theory in reduced WZNW framework and the representations of the W-algebra Nucl. Phys. B 385 329
    • (1992) Nucl. Phys. B , vol.385 , pp. 329
    • Bajnok, Z.1    Palla, L.2    Takacs, G.3
  • 136
    • 0010942224 scopus 로고
    • N = 1 superconformal operator product expansions and superfield fusion rules
    • Sotkov G M and Stanishkov M S 1986 N = 1 superconformal operator product expansions and superfield fusion rules Phys. Lett. B 177 361
    • (1986) Phys. Lett. B , vol.177 , pp. 361
    • Sotkov, G.M.1    Stanishkov, M.S.2
  • 137
    • 0000298504 scopus 로고
    • Fusion rules, four-point functions and discrete symmetries of N = 2 superconformal models
    • Mussardo G, Sotkov G and Stanishkov M 1989 Fusion rules, four-point functions and discrete symmetries of N = 2 superconformal models Phys. Lett. B 218 191
    • (1989) Phys. Lett. B , vol.218 , pp. 191
    • Mussardo, G.1    Sotkov, G.2    Stanishkov, M.3
  • 139
    • 0001680756 scopus 로고
    • Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras
    • Feigin B L and Fuchs DB 1988 Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras J. Geom. Phys. 5 209
    • (1988) J. Geom. Phys. , vol.5 , pp. 209
    • Feigin, B.L.1    Fuchs, D.B.2
  • 141
    • 0000042317 scopus 로고
    • Quasi-rational fusion products
    • Nahm W 1994 Preprint hep-th/9402039
    • Nahm W 1994 Quasi-rational fusion products Int. J. Mod. Phys. B 8 3693 (Nahm W 1994 Preprint hep-th/9402039)
    • (1994) Int. J. Mod. Phys. B , vol.8 , pp. 3693
    • Nahm, W.1
  • 142
    • 0000070791 scopus 로고
    • Logarithmic operators in conformal field theory
    • Gurarie V 1993 Preprint hep-th/9303160
    • Gurarie V 1993 Logarithmic operators in conformal field theory Nucl. Phys. B 410 535 (Gurarie V 1993 Preprint hep-th/9303160)
    • (1993) Nucl. Phys. B , vol.410 , pp. 535
    • Gurarie, V.1
  • 143
    • 0030573958 scopus 로고    scopus 로고
    • Indecomposable fusion products
    • Gaberdiel M R and Kausch HG 1996 Preprint hep-th/9604026
    • Gaberdiel M R and Rausch HG 1996 Indecomposable fusion products Nucl. Phys. B 477 293 (Gaberdiel M R and Kausch HG 1996 Preprint hep-th/9604026)
    • (1996) Nucl. Phys. B , vol.477 , pp. 293
    • Gaberdiel, M.R.1    Rausch, H.G.2
  • 144
    • 1542636691 scopus 로고    scopus 로고
    • On modular invariant partition functions of conformal field theories with logarithmic operators
    • Flohr M A I 1995 Preprint hep-th/9509166
    • Flohr M A I 1996 On modular invariant partition functions of conformal field theories with logarithmic operators Int. J. Mod. Phys. A 114147 (Flohr M A I 1995 Preprint hep-th/9509166)
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 4147
    • Flohr, M.A.I.1
  • 145
    • 0004026512 scopus 로고
    • Preprint DAMTP 95-52 Kauch HG 1995 Preprint hep-th/9510149
    • Kausch H G Curiosities at c = -2 1995 Preprint DAMTP 95-52 Kauch HG 1995 Preprint hep-th/9510149
    • (1995) Curiosities at C = -2
    • Kausch, H.G.1
  • 146
    • 13544260257 scopus 로고
    • Quantum Held theory for the multi-variable Alexander-Conway polynomial
    • Rozansky L and Saleur H 1992 Preprint hep-th/9203069
    • Rozansky L and Saleur H 1992 Quantum Held theory for the multi-variable Alexander-Conway polynomial Nucl.Phys. B 376 461 (Rozansky L and Saleur H 1992 Preprint hep-th/9203069)
    • (1992) Nucl.Phys. B , vol.376 , pp. 461
    • Rozansky, L.1    Saleur, H.2
  • 147
    • 4243825065 scopus 로고
    • Exactly marginal operators and running coupling constants in 2D gravity
    • Schmidhuber C 1992 Preprint hep-th/9212075
    • Schmidhuber C 1993 Exactly marginal operators and running coupling constants in 2D gravity Mid. Phys. B 404342 (Schmidhuber C 1992 Preprint hep-th/9212075)
    • (1993) Mid. Phys. B , vol.404 , pp. 342
    • Schmidhuber, C.1
  • 148
    • 4243265244 scopus 로고
    • On gravitational dressing of 2D held theories in chiral gauge
    • Bilal A and Kogan II 1995 Preprint hep-th/9503209
    • Bilal A and Kogan II 1995 On gravitational dressing of 2D Held theories in chiral gauge Nucl. Phys. B 449 569 (Bilal A and Kogan II 1995 Preprint hep-th/9503209)
    • (1995) Nucl. Phys. B , vol.449 , pp. 569
    • Bilal, A.1    Kogan, I.I.2
  • 149
    • 0001235515 scopus 로고    scopus 로고
    • Vertex operator algebras and moonshine: A survey
    • Dong C and Mason G 1996 Vertex operator algebras and moonshine: a survey Adv. Stud. Pure Math. 24 101
    • (1996) Adv. Stud. Pure Math. , vol.24 , pp. 101
    • Dong, C.1    Mason, G.2
  • 150
    • 0001400413 scopus 로고
    • Extended conformal algebras generated by a multiplet of primary Helds
    • Kausch HG 1991 Extended conformal algebras generated by a multiplet of primary Helds Phys. Lett. B 259 448
    • (1991) Phys. Lett. B , vol.259 , pp. 448
    • Kausch, H.G.1
  • 151
    • 0042515527 scopus 로고    scopus 로고
    • A rational logarithmic conformal Held theory
    • Gaberdiel M R and Kausch H G 1996 Preprint he-th/9606050
    • Gaberdiel M R and Kausch HG 1996 A rational logarithmic conformal Held theory Phys. Lett. B 386 131 (Gaberdiel M R and Kausch H G 1996 Preprint he-th/9606050)
    • (1996) Phys. Lett. B , vol.386 , pp. 131
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 152
    • 45549111952 scopus 로고
    • Fusion rules and modular transformations in 2D conformal field theory
    • Verlinde E 1988 Fusion rules and modular transformations in 2D conformal field theory Nucl. Phys. B 300360
    • (1988) Nucl. Phys. B , vol.300 , pp. 360
    • Verlinde, E.1
  • 153
    • 0002370173 scopus 로고
    • Markov traces and II. 1 factors in conformal field theory
    • De Boer J and Goeree J 1991 Markov traces and II. 1 factors in conformal field theory Commun. Math. Phys. 139 267
    • (1991) Commun. Math. Phys. , vol.139 , pp. 267
    • De Boer, J.1    Goeree, J.2
  • 154
    • 0001517386 scopus 로고
    • Remarks on Galois symmetry in rational conformal field theories
    • Coste A and Cannon T 1994 Remarks on Galois symmetry in rational conformal field theories Phys. Lett. B 323316
    • (1994) Phys. Lett. B , vol.323 , pp. 316
    • Coste, A.1    Cannon, T.2
  • 155
    • 0000405473 scopus 로고
    • A proof for the Verlinde formula
    • Fallings G 1994 A proof for the Verlinde formula J. Algebr. Gaum. 3 347
    • (1994) J. Algebr. Gaum. , vol.3 , pp. 347
    • Fallings, G.1
  • 156
    • 0000004532 scopus 로고
    • Conformal algebra and multipoint correlation functions in 2D statistical models
    • Dotsenko V S and Fateev V A 1984 Conformal algebra and multipoint correlation functions in 2D statistical models Nucl. Phys. B 240 312
    • (1984) Nucl. Phys. B , vol.240 , pp. 312
    • Dotsenko, V.S.1    Fateev, V.A.2
  • 157
    • 85010074945 scopus 로고
    • Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge c ≤ 1
    • Dotsenko V S and Fateev V A 1985 Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge c ≤ 1 Nucl. Phys. B 251 691
    • (1985) Nucl. Phys. B , vol.251 , pp. 691
    • Dotsenko, V.S.1    Fateev, V.A.2
  • 158
    • 0000957940 scopus 로고
    • The four-point correlations of all primary operators of the d = 2 conformally invariant SU (2) σ-model with Wess-Zumino term
    • Christe P and Flume R 1987 The four-point correlations of all primary operators of the d = 2 conformally invariant SU (2) σ-model with Wess-Zumino term Nucl. Phys. B 282 466
    • (1987) Nucl. Phys. B , vol.282 , pp. 466
    • Christe, P.1    Flume, R.2
  • 159
    • 0007017955 scopus 로고
    • Structure constants of the (A, D) minimal c < 1 conformal models
    • Petkova V B 1989 Structure constants of the (A, D) minimal c < 1 conformal models Phys. Lett. B 225 357
    • (1989) Phys. Lett. B , vol.225 , pp. 357
    • Petkova, V.B.1
  • 160
    • 0000115436 scopus 로고
    • Braid matrices and structure constants for minimal conformal models
    • Felder G. Fröhlich J and Keller G 1989 Braid matrices and structure constants for minimal conformal models Commun. Math. Phys. 124 647
    • (1989) Commun. Math. Phys. , vol.124 , pp. 647
    • Felder, G.1    Fröhlich, J.2    Keller, G.3
  • 161
    • 0040336056 scopus 로고
    • The computation of the operator algebra in non-diagonal conformal field theories
    • Fuchs J and Klemm A 1989 The computation of the operator algebra in non-diagonal conformal field theories Ann. Phys. 194 303
    • (1989) Ann. Phys. , vol.194 , pp. 303
    • Fuchs, J.1    Klemm, A.2
  • 162
    • 0001283189 scopus 로고
    • Fusion matrices and c < 1 (quasi)local conformal field theories
    • Furlan P. Ganchev A C and Petkova V B Int. J. Mod. Phys. A 5 3641 (erratum)
    • Furlan P, Ganchev A C and Petkova V B 1990 Fusion matrices and c < 1 (quasi)local conformal field theories Int. J. Mod. Phys. A 5 2721 Furlan P. Ganchev A C and Petkova V B Int. J. Mod. Phys. A 5 3641 (erratum)
    • (1990) Int. J. Mod. Phys. A , vol.5 , pp. 2721
    • Furlan, P.1    Ganchev, A.C.2    Petkova, V.B.3
  • 163
    • 0043290417 scopus 로고
    • Solving the SU(2) conformal field theory using the Wakimoto free field representation
    • Dotsenko V S 1991 Solving the SU(2) conformal field theory using the Wakimoto free field representation Nucl. Phys. B 358 547
    • (1991) Nucl. Phys. B , vol.358 , pp. 547
    • Dotsenko, V.S.1
  • 164
    • 0033606036 scopus 로고    scopus 로고
    • On structure constants and fusion rules in the SL(2, ℂ)/SU (2) WZNW model
    • Teschner J A 1997 Preprint hep-th/9712256
    • Teschner JA 1999 On structure constants and fusion rules in the SL(2, ℂ)/SU (2) WZNW model Nucl. Phys. B 546 390 (Teschner J A 1997 Preprint hep-th/9712256)
    • (1999) Nucl. Phys. B , vol.546 , pp. 390
    • Teschner, J.A.1
  • 165
    • 0000880382 scopus 로고
    • A comment on quantum group symmetry in conformal field theory
    • Moore G and Reshetikhin N 1989 A comment on quantum group symmetry in conformal field theory Nucl. Phys. B 328 557
    • (1989) Nucl. Phys. B , vol.328 , pp. 557
    • Moore, G.1    Reshetikhin, N.2
  • 166
    • 21844507745 scopus 로고
    • An explicit construction of the quantum group in chiral WZW-models
    • Gaberdiel M R 1994 Preprint hep-th/9407186
    • Gaberdiel M R 1995 An explicit construction of the quantum group in chiral WZW-models Commun. Math. Phys. 173 357 (Gaberdiel M R 1994 Preprint hep-th/9407186)
    • (1995) Commun. Math. Phys. , vol.173 , pp. 357
    • Gaberdiel, M.R.1
  • 168
    • 4244109340 scopus 로고
    • Einstein causality and Artin braids
    • Rehren K-H and Schroer B 1989 Einstein causality and Artin braids Nucl. Phys. B 312 715
    • (1989) Nucl. Phys. B , vol.312 , pp. 715
    • Rehren, K.-H.1    Schroer, B.2
  • 169
    • 0001866244 scopus 로고
    • Statistics of fields, the Yang-Baxter equation and the theory of knots and links
    • ed G t'Hooft (New York: Plenum)
    • Fröhlich J 1988 Statistics of fields, the Yang-Baxter equation and the theory of knots and links Cargèse Lectures 1987 ed G t'Hooft (New York: Plenum)
    • (1988) Cargèse Lectures 1987
    • Fröhlich, J.1
  • 170
    • 4243755080 scopus 로고
    • Hidden quantum symmetries in rational conformal field theories
    • Alvarez-Gaume L. Gomez C and Sierra G 1989 Hidden quantum symmetries in rational conformal field theories Nucl.Phys. B 319 155
    • (1989) Nucl.Phys. B , vol.319 , pp. 155
    • Alvarez-Gaume, L.1    Gomez, C.2    Sierra, G.3
  • 171
    • 0000911818 scopus 로고
    • Hopf algebras and the quantum Yang-Baxter equation
    • Drinfeld V G 1985 Hopf algebras and the quantum Yang-Baxter equation Sov. Math. Dokl. 32 254
    • (1985) Sov. Math. Dokl. , vol.32 , pp. 254
    • Drinfeld, V.G.1
  • 173
    • 0040323775 scopus 로고
    • A q-difference analogue of U(g) and the Yang-Baxter equation
    • Jimbo M 1985 A q-difference analogue of U(g) and the Yang-Baxter equation Lett. Math. Phys. 10 63
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63
    • Jimbo, M.1
  • 174
    • 0000057580 scopus 로고
    • Quantization of Lie groups and Lie algebras
    • Faddeev L D, Reshetikhin N Y and Takhtajan L A 1987 Preprint LOMI-E-14-87
    • Faddeev L D, Reshetikhin N Y and Takhtajan L A 1990 Quantization of Lie groups and Lie algebras Leningrad Math. J. 1193 (Faddeev L D, Reshetikhin N Y and Takhtajan L A 1987 Preprint LOMI-E-14-87)
    • (1990) Leningrad Math. J. , vol.1 , pp. 193
    • Faddeev, L.D.1    Reshetikhin, N.Y.2    Takhtajan, L.A.3
  • 177
    • 0000336452 scopus 로고
    • 1 and monodromy representations of the braid group
    • 1 and monodromy representations of the braid group Lett. Math. Phys. 13 303
    • (1987) Lett. Math. Phys. , vol.13 , pp. 303
    • Tsuchiya, A.1    Kanie, Y.2
  • 178
    • 0001172947 scopus 로고
    • 1 and monodromy representations of braid group
    • Tsuchiya A and Kanie Y 1989 Adv. Stud. Pure Math. 19 675 (erratum)
    • 1 and monodromy representations of braid group Adv. Stud. Pure Math. 16 297 Tsuchiya A and Kanie Y 1989 Adv. Stud. Pure Math. 19 675 (erratum)
    • (1988) Adv. Stud. Pure Math. , vol.16 , pp. 297
    • Tsuchiya, A.1    Kanie, Y.2
  • 180
    • 33646067394 scopus 로고
    • Quantum group interpretation of some conformal field theories
    • Alvarez-Gaume L, Gomez C and Sierra G 1989 Quantum group interpretation of some conformal field theories Phys. Lett. B 220 142
    • (1989) Phys. Lett. B , vol.220 , pp. 142
    • Alvarez-Gaume, L.1    Gomez, C.2    Sierra, G.3
  • 181
    • 0030304011 scopus 로고    scopus 로고
    • An equivalence of fusion categories
    • Finkelberg M 1996 An equivalence of fusion categories Geom. Fund. Anal. 6 249
    • (1996) Geom. Fund. Anal. , vol.6 , pp. 249
    • Finkelberg, M.1
  • 182
    • 0001162013 scopus 로고
    • Quantum group meaning of the Coulomb gas
    • Gomez C and Sierra G 1990 Quantum group meaning of the Coulomb gas Phys. Lett. B 240 149
    • (1990) Phys. Lett. B , vol.240 , pp. 149
    • Gomez, C.1    Sierra, G.2
  • 183
    • 5944233952 scopus 로고
    • The quantum symmetry of rational conformal field theories
    • Gomez C and Sierra G 1991 The quantum symmetry of rational conformal field theories Nucl. Phys. B 352 791
    • (1991) Nucl. Phys. B , vol.352 , pp. 791
    • Gomez, C.1    Sierra, G.2
  • 184
  • 185
    • 4243419793 scopus 로고
    • The contour picture of quantum groups: Conformal field theories
    • Ramirez C, Ruegg H and Ruiz-AltabaM 1991 The contour picture of quantum groups: conformal field theories Nucl. Phys. B 364 195
    • (1991) Nucl. Phys. B , vol.364 , pp. 195
    • Ramirez, C.1    Ruegg, H.2    Ruiz-Altaba, M.3
  • 187
    • 0008985739 scopus 로고    scopus 로고
    • Generalization of the Knizhnik-Zamolodchikov equations
    • Alekseev A Y, Recknagel A and Schomerus V 1996 Preprint hep-th/9610066
    • Alekseev A Y, Recknagel A and Schomerus V 1997 Generalization of the Knizhnik-Zamolodchikov equations Lett. Math. Phys. 41 169 (Alekseev A Y, Recknagel A and Schomerus V 1996 Preprint hep-th/9610066)
    • (1997) Lett. Math. Phys. , vol.41 , pp. 169
    • Alekseev, A.Y.1    Recknagel, A.2    Schomerus, V.3
  • 188
    • 0003638140 scopus 로고
    • Quantum groups, quantum categories and quantum field theory
    • Berlin: Springer
    • Fröhlich J and Kerler T 1992 Quantum groups, quantum categories and quantum field theory (Lecture Notes in Mathematics) (Berlin: Springer)
    • (1992) Lecture Notes in Mathematics
    • Fröhlich, J.1    Kerler, T.2
  • 190
    • 0011694830 scopus 로고
    • Quasi Hopf quantum symmetry in quantum theory
    • Mack G and Schomerus V 1992 Quasi Hopf quantum symmetry in quantum theory Nucl. Phys. B 370 185
    • (1992) Nucl. Phys. B , vol.370 , pp. 185
    • Mack, G.1    Schomerus, V.2
  • 191
    • 33646069279 scopus 로고
    • Construction of field algebras with quantum symmetry from local observables
    • Schomerus V 1995 Preprint hep-th/9401042
    • Schomerus V 1995 Construction of field algebras with quantum symmetry from local observables Commun. Math. Phys. 169 193 (Schomerus V 1995 Preprint hep-th/9401042)
    • (1995) Commun. Math. Phys. , vol.169 , pp. 193
    • Schomerus, V.1
  • 192
    • 0001023531 scopus 로고
    • Reconstruction theorems and rational conformal field theories
    • Majid S 1991 Reconstruction theorems and rational conformal field theories Int. J. Mod. Phys. A 6 4359
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 4359
    • Majid, S.1
  • 193
    • 0010806038 scopus 로고
    • Index for subfactors
    • Jones VFR 1983 Index for subfactors Invent. Math. 72 1
    • (1983) Invent. Math. , vol.72 , pp. 1
    • Jones, V.F.R.1
  • 194
    • 84968518084 scopus 로고
    • A polynomial invariant for links via von Neumann algebras
    • Jones VFR 1985 A polynomial invariant for links via von Neumann algebras Bull. Am. Math. Soc. 12 103
    • (1985) Bull. Am. Math. Soc. , vol.12 , pp. 103
    • Jones, V.F.R.1
  • 195
    • 34249960869 scopus 로고
    • Ribbon graphs and their invariants derived from quantum groups
    • Reshetikhin N Y and Turaev V G 1990 Ribbon graphs and their invariants derived from quantum groups Commun. Math. Phys. 127 1
    • (1990) Commun. Math. Phys. , vol.127 , pp. 1
    • Reshetikhin, N.Y.1    Turaev, V.G.2
  • 196
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • Witten E 1989 Quantum field theory and the Jones polynomial Commun. Math. Phys. 121 351
    • (1989) Commun. Math. Phys. , vol.121 , pp. 351
    • Witten, E.1
  • 197
    • 0004285969 scopus 로고
    • The Chern-Simons theory and knot polynomials
    • Fröhlich J and King C 1989 The Chern-Simons theory and knot polynomials Commun. Math. Phys. 126 167
    • (1989) Commun. Math. Phys. , vol.126 , pp. 167
    • Fröhlich, J.1    King, C.2
  • 198
    • 0002267502 scopus 로고
    • Naturality in conformal field theory
    • Moore G and Seiberg N 1989 Naturality in conformal field theory Nucl. Phys. B 313 16
    • (1989) Nucl. Phys. B , vol.313 , pp. 16
    • Moore, G.1    Seiberg, N.2
  • 199
    • 0032370051 scopus 로고    scopus 로고
    • Twisted representations of vertex operator algebras
    • Dong C, Li H and Mason G 1995 Preprint q-alg/9509005
    • Dong C, Li H and Mason G 1998 Twisted representations of vertex operator algebras Math. Ann. 310 571 (Dong C, Li H and Mason G 1995 Preprint q-alg/9509005 )
    • (1998) Math. Ann. , vol.310 , pp. 571
    • Dong, C.1    Li, H.2    Mason, G.3
  • 200
    • 0011402903 scopus 로고
    • Operator content of two-dimensional conformally invariant theories
    • Cardy J L 1986 Operator content of two-dimensional conformally invariant theories Nucl. Phys. B 270 186
    • (1986) Nucl. Phys. B , vol.270 , pp. 186
    • Cardy, J.L.1
  • 201
    • 4243404473 scopus 로고
    • Operator algebra of two-dimensional conformal theories with central charge c ≤ 1
    • Dotsenko V S and Fateev V A 1985 Operator algebra of two-dimensional conformal theories with central charge c ≤ 1 Phys. Lett. B 154 291
    • (1985) Phys. Lett. B , vol.154 , pp. 291
    • Dotsenko, V.S.1    Fateev, V.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.