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Volumn 618, Issue 3, 2001, Pages 407-436

Fusion rules and logarithmic representations of a WZW model at fractional level

Author keywords

11.25.Hf

Indexed keywords


EID: 0035905120     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(01)00490-4     Document Type: Article
Times cited : (115)

References (61)
  • 1
    • 0041473823 scopus 로고
    • Non-abelian bosonization in two dimensions
    • Witten E. Non-abelian bosonization in two dimensions. Commun. Math. Phys. 92:1984;455.
    • (1984) Commun. Math. Phys. , vol.92 , pp. 455
    • Witten, E.1
  • 2
    • 34247181532 scopus 로고
    • String theory on group manifolds
    • Gepner D., Witten E. String theory on group manifolds. Nucl. Phys. B. 278:1986;493.
    • (1986) Nucl. Phys. B , vol.278 , pp. 493
    • Gepner, D.1    Witten, E.2
  • 4
    • 0346928335 scopus 로고
    • Fusion rules in Wess-Zumino-Witten models
    • Walton M.A. Fusion rules in Wess-Zumino-Witten models. Nucl. Phys. B. 340:1990;777.
    • (1990) Nucl. Phys. B , vol.340 , pp. 777
    • Walton, M.A.1
  • 5
  • 6
    • 45549111952 scopus 로고
    • Fusion rules and modular transformations in 2D conformal field theory
    • Verlinde E. Fusion rules and modular transformations in 2D conformal field theory. Nucl. Phys. B. 300 [FS22]:1988;360.
    • (1988) Nucl. Phys. B , vol.300 , Issue.FS22 , pp. 360
    • Verlinde, E.1
  • 7
    • 0034360462 scopus 로고    scopus 로고
    • Axiomatic conformal field theory
    • hep-th/9810019
    • Gaberdiel M.R., Goddard P. Axiomatic conformal field theory. Commun. Math. Phys. 209:2000;549 hep-th/9810019.
    • (2000) Commun. Math. Phys. , vol.209 , pp. 549
    • Gaberdiel, M.R.1    Goddard, P.2
  • 8
    • 0000657471 scopus 로고
    • Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
    • Kac V.G., Wakimoto M. Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. Proc. Natl. Acad. Sci. USA. 85:1988;4956.
    • (1988) Proc. Natl. Acad. Sci. USA , vol.85 , pp. 4956
    • Kac, V.G.1    Wakimoto, M.2
  • 9
    • 0000877804 scopus 로고
    • Fock representations and BRST cohomology in sl(2) current algebra
    • Bernard D., Felder G. Fock representations and BRST cohomology in sl(2) current algebra. Commun. Math. Phys. 127:1990;145.
    • (1990) Commun. Math. Phys. , vol.127 , pp. 145
    • Bernard, D.1    Felder, G.2
  • 10
    • 0007084133 scopus 로고
    • Fractional level current algebras and spectrum of C<1 minimal models coupled to gravity
    • Panda S. Fractional level current algebras and spectrum of C<1 minimal models coupled to gravity. Phys. Lett. B. 251:1990;61.
    • (1990) Phys. Lett. B , vol.251 , pp. 61
    • Panda, S.1
  • 11
    • 0001478654 scopus 로고
    • Fusion rules for the fractional level sl(2) algebra
    • Awata H., Yamada Y. Fusion rules for the fractional level sl(2) algebra. Mod. Phys. Lett. A. 7:1992;1185.
    • (1992) Mod. Phys. Lett. A , vol.7 , pp. 1185
    • Awata, H.1    Yamada, Y.2
  • 12
    • 0043290417 scopus 로고
    • Solving the su(2) conformal field theory with the Wakimoto free field representation
    • Dotsenko V.S. Solving the su(2) conformal field theory with the Wakimoto free field representation. Nucl. Phys. B. 358:1991;547.
    • (1991) Nucl. Phys. B , vol.358 , pp. 547
    • Dotsenko, V.S.1
  • 13
    • 0001394103 scopus 로고
    • Fusion algebra at a rational level and cohomology of nilpotent subalgebras of supersymmetric sl(2)
    • hep-th/9310004
    • Feigin B., Malikov F. Fusion algebra at a rational level and cohomology of nilpotent subalgebras of supersymmetric sl(2) . Lett. Math. Phys. 31:1994;315 hep-th/9310004.
    • (1994) Lett. Math. Phys. , vol.31 , pp. 315
    • Feigin, B.1    Malikov, F.2
  • 14
    • 0000424959 scopus 로고
    • Operator algebra of the SL(2) conformal field theories
    • hep-th/9504082
    • Andreev O. Operator algebra of the SL(2) conformal field theories. Phys. Lett. B. 363:1995;166 hep-th/9504082.
    • (1995) Phys. Lett. B , vol.363 , pp. 166
    • Andreev, O.1
  • 16
    • 0030590926 scopus 로고    scopus 로고
    • Fusion, crossing and monodromy in conformal field theory based on sl(2) current algebra with fractional level
    • hep-th/9607129
    • Petersen J.L., Rasmussen J., Yu M. Fusion, crossing and monodromy in conformal field theory based on sl(2) current algebra with fractional level. Nucl. Phys. B. 481:1996;577 hep-th/9607129.
    • (1996) Nucl. Phys. B , vol.481 , pp. 577
    • Petersen, J.L.1    Rasmussen, J.2    Yu, M.3
  • 17
    • 0031554238 scopus 로고    scopus 로고
    • (1) admissible representations - Fusion transformations and local correlators
    • hep-th/9608018
    • (1) admissible representations - fusion transformations and local correlators. Nucl. Phys. B. 491:1997;635 hep-th/9608018.
    • (1997) Nucl. Phys. B , vol.491 , pp. 635
    • Furlan, P.1    Ganchev, A.Ch.2    Petkova, V.B.3
  • 19
  • 20
    • 0346763470 scopus 로고
    • Classical and quantum conformal field theory
    • Moore G., Seiberg N. Classical and quantum conformal field theory. Commun. Math. Phys. 123:1989;177.
    • (1989) Commun. Math. Phys. , vol.123 , pp. 177
    • Moore, G.1    Seiberg, N.2
  • 21
    • 0000693811 scopus 로고
    • Fusion in conformal field theory as the tensor product of the symmetry algebra
    • hep-th/9307183
    • Gaberdiel M.R. Fusion in conformal field theory as the tensor product of the symmetry algebra. Int. J. Mod. Phys. A. 9:1994;4619 hep-th/9307183.
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 4619
    • Gaberdiel, M.R.1
  • 22
    • 0001746913 scopus 로고
    • Fusion rules of chiral algebras
    • hep-th/9309105
    • Gaberdiel M.R. Fusion rules of chiral algebras. Nucl. Phys. B. 417:1994;130 hep-th/9309105.
    • (1994) Nucl. Phys. B , vol.417 , pp. 130
    • Gaberdiel, M.R.1
  • 23
    • 0000042317 scopus 로고
    • Quasi-rational fusion products
    • hep-th/9402039
    • Nahm W. Quasi-rational fusion products. Int. J. Mod. Phys. B. 8:1994;3693 hep-th/9402039.
    • (1994) Int. J. Mod. Phys. B , vol.8 , pp. 3693
    • Nahm, W.1
  • 24
    • 0030573958 scopus 로고    scopus 로고
    • Indecomposable fusion products
    • hep-th/9604026
    • Gaberdiel M.R., Kausch H.G. Indecomposable fusion products. Nucl. Phys. B. 477:1996;293 hep-th/9604026.
    • (1996) Nucl. Phys. B , vol.477 , pp. 293
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 25
    • 0000070791 scopus 로고
    • Logarithmic operators in conformal field theory
    • hep-th/9303160
    • Gurarie V. Logarithmic operators in conformal field theory. Nucl. Phys. B. 410:1993;535 hep-th/9303160.
    • (1993) Nucl. Phys. B , vol.410 , pp. 535
    • Gurarie, V.1
  • 26
    • 1542636691 scopus 로고    scopus 로고
    • On modular invariant partition functions of conformal field theories with logarithmic operators
    • hep-th/9509166
    • Flohr M.A. On modular invariant partition functions of conformal field theories with logarithmic operators. Int. J. Mod. Phys. A. 11:1996;4147 hep-th/9509166.
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 4147
    • Flohr, M.A.1
  • 27
    • 0346681086 scopus 로고    scopus 로고
    • On fusion rules in logarithmic conformal field theories
    • hep-th/9605151
    • Flohr M. On fusion rules in logarithmic conformal field theories. Int. J. Mod. Phys. A. 12:1997;1943 hep-th/9605151.
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 1943
    • Flohr, M.1
  • 28
    • 0031582566 scopus 로고    scopus 로고
    • The logarithmic conformal field theories
    • hep-th/9610168
    • Tabar M.R., Aghamohammadi A., Khorrami M. The logarithmic conformal field theories. Nucl. Phys. B. 497:1997;555 hep-th/9610168.
    • (1997) Nucl. Phys. B , vol.497 , pp. 555
    • Tabar, M.R.1    Aghamohammadi, A.2    Khorrami, M.3
  • 30
    • 0032559747 scopus 로고    scopus 로고
    • Singular vectors in logarithmic conformal field theories
    • hep-th/9707090
    • Flohr M. Singular vectors in logarithmic conformal field theories. Nucl. Phys. B. 514:1998;523 hep-th/9707090.
    • (1998) Nucl. Phys. B , vol.514 , pp. 523
    • Flohr, M.1
  • 31
    • 0030571988 scopus 로고    scopus 로고
    • Logarithmic operators and hidden continuous symmetry in critical disordered models
    • hep-th/9511134
    • Caux J.-S., Kogan I.I., Tsvelik A.M. Logarithmic operators and hidden continuous symmetry in critical disordered models. Nucl. Phys. B. 466:1996;444 hep-th/9511134.
    • (1996) Nucl. Phys. B , vol.466 , pp. 444
    • Caux, J.-S.1    Kogan, I.I.2    Tsvelik, A.M.3
  • 33
    • 0042515527 scopus 로고    scopus 로고
    • A rational logarithmic conformal field theory
    • hep-th/9606050
    • Gaberdiel M.R., Kausch H.G. A rational logarithmic conformal field theory. Phys. Lett. B. 386:1996;131 hep-th/9606050.
    • (1996) Phys. Lett. B , vol.386 , pp. 131
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 36
    • 0030605297 scopus 로고    scopus 로고
    • WZW models of general simple groups
    • hep-th/9508105
    • Gaberdiel M.R. WZW models of general simple groups. Nucl. Phys. B. 460:1996;181 hep-th/9508105.
    • (1996) Nucl. Phys. B , vol.460 , pp. 181
    • Gaberdiel, M.R.1
  • 37
    • 0000115789 scopus 로고    scopus 로고
    • Fusion of twisted representations
    • hep-th/9607036
    • Gaberdiel M.R. Fusion of twisted representations. Int. J. Mod. Phys. A. 12:1997;5183 hep-th/9607036.
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 5183
    • Gaberdiel, M.R.1
  • 38
    • 0030551014 scopus 로고    scopus 로고
    • Modular invariance of characters of vertex operator algebras
    • Zhu Y. Modular invariance of characters of vertex operator algebras. J. Amer. Math. Soc. 9:1996;237.
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 237
    • Zhu, Y.1
  • 41
    • 0032370051 scopus 로고    scopus 로고
    • Twisted representations of vertex operator algebras
    • q-alg/9509005
    • Dong C., Li H., Mason G. Twisted representations of vertex operator algebras. Math. Ann. 310:1998;571 q-alg/9509005.
    • (1998) Math. Ann. , vol.310 , pp. 571
    • Dong, C.1    Li, H.2    Mason, G.3
  • 42
    • 0031475870 scopus 로고    scopus 로고
    • Unitarity of rational N=2 superconformal theories
    • hep-th/9601163
    • Eholzer W., Gaberdiel M.R. Unitarity of rational N=2 superconformal theories. Commun. Math. Phys. 186:1997;61 hep-th/9601163.
    • (1997) Commun. Math. Phys. , vol.186 , pp. 61
    • Eholzer, W.1    Gaberdiel, M.R.2
  • 44
    • 0001073927 scopus 로고
    • Fractional level Kac-Moody algebras and nonunitary coset conformal field theories
    • Mathieu P., Walton M.A. Fractional level Kac-Moody algebras and nonunitary coset conformal field theories. Prog. Theor. Phys. Suppl. 102:1990;229.
    • (1990) Prog. Theor. Phys. Suppl. , vol.102 , pp. 229
    • Mathieu, P.1    Walton, M.A.2
  • 45
    • 0000962336 scopus 로고
    • Fusion rules and (sub)-modular invariant partition functions in non-unitary theories
    • Koh I.G., Sorba P. Fusion rules and (sub)-modular invariant partition functions in non-unitary theories. Phys. Lett. B. 215:1988;723.
    • (1988) Phys. Lett. B , vol.215 , pp. 723
    • Koh, I.G.1    Sorba, P.2
  • 46
    • 78650234788 scopus 로고    scopus 로고
    • The large N limit of superconformal field theories and supergravity
    • hep-th/9711200
    • Maldacena J. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2:1998;231 hep-th/9711200.
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 231
    • Maldacena, J.1
  • 48
    • 0033599919 scopus 로고    scopus 로고
    • 3 and 2d conformal field theory
    • hep-th/9806104
    • 3 and 2d conformal field theory. Nucl. Phys. B. 548:1999;139 hep-th/9806104.
    • (1999) Nucl. Phys. B , vol.548 , pp. 139
    • De Boer, J.1
  • 50
    • 0034629599 scopus 로고    scopus 로고
    • + -WZNW model
    • hep-th/9906215
    • + -WZNW model. Nucl. Phys. B. 571:2000;555 hep-th/9906215.
    • (2000) Nucl. Phys. B , vol.571 , pp. 555
    • Teschner, J.1
  • 51
    • 0035916612 scopus 로고    scopus 로고
    • 3 and the SL(2,R) WZW model. Part 1: The spectrum
    • hep-th/0001053
    • 3 and the SL(2,R) WZW model. Part 1: The spectrum. Int. J. Mod. Phys. A. 16:2001;677 hep-th/0001053.
    • (2001) Int. J. Mod. Phys. A , vol.16 , pp. 677
    • Maldacena, J.1    Ooguri, H.2
  • 53
    • 4243265244 scopus 로고
    • On gravitational dressing of 2D field theories in chiral gauge
    • hep-th/9503209
    • Bilal A., Kogan I.I. On gravitational dressing of 2D field theories in chiral gauge. Nucl. Phys. B. 449:1995;569 hep-th/9503209.
    • (1995) Nucl. Phys. B , vol.449 , pp. 569
    • Bilal, A.1    Kogan, I.I.2
  • 54
    • 0002466240 scopus 로고    scopus 로고
    • Knizhnik-Zamolodchikov-type equations for gauged WZNW models
    • hep-th/9703028
    • Kogan I.I., Lewis A., Soloviev O.A. Knizhnik-Zamolodchikov-type equations for gauged WZNW models. Int. J. Mod. Phys. A. 13:1998;1345 hep-th/9703028.
    • (1998) Int. J. Mod. Phys. A , vol.13 , pp. 1345
    • Kogan, I.I.1    Lewis, A.2    Soloviev, O.A.3
  • 55
    • 0034630712 scopus 로고    scopus 로고
    • Logarithmic operators in the theory of plateau transition
    • hep-th/9912143
    • Kogan I.I., Tsvelik A.M. Logarithmic operators in the theory of plateau transition. Mod. Phys. Lett. A. 15:2000;931 hep-th/9912143.
    • (2000) Mod. Phys. Lett. A , vol.15 , pp. 931
    • Kogan, I.I.1    Tsvelik, A.M.2
  • 56
    • 0035848503 scopus 로고    scopus 로고
    • Logarithmic operators in the SL(2,R) WZNW model
    • hep-th/0007007
    • Nichols A., Sanjay. Logarithmic operators in the SL(2,R) WZNW model. Nucl. Phys. B. 597:2001;633 hep-th/0007007.
    • (2001) Nucl. Phys. B , vol.597 , pp. 633
    • Nichols, A.1    Sanjay2
  • 58
    • 0033579774 scopus 로고    scopus 로고
    • A local logarithmic conformal field theory
    • hep-th/9807091
    • Gaberdiel M.R., Kausch H.G. A local logarithmic conformal field theory. Nucl. Phys. B. 538:1999;631 hep-th/9807091.
    • (1999) Nucl. Phys. B , vol.538 , pp. 631
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 59
    • 0000845270 scopus 로고    scopus 로고
    • Symplectic fermions
    • hep-th/0003029
    • Kausch H.G. Symplectic fermions. Nucl. Phys. B. 583:2000;513 hep-th/0003029.
    • (2000) Nucl. Phys. B , vol.583 , pp. 513
    • Kausch, H.G.1
  • 61
    • 0034601335 scopus 로고    scopus 로고
    • Boundary logarithmic conformal field theory
    • hep-th/0003184
    • Kogan I.I., Wheater J.F. Boundary logarithmic conformal field theory. Phys. Lett. B. 486:2000;353 hep-th/0003184.
    • (2000) Phys. Lett. B , vol.486 , pp. 353
    • Kogan, I.I.1    Wheater, J.F.2


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