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Volumn 280, Issue 1, 2008, Pages 207-261

Open-Closed Field Algebras

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EID: 43549092600     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0446-0     Document Type: Article
Times cited : (17)

References (52)
  • 1
    • 52449136784 scopus 로고
    • A general approach to Dual Multiloop Diagrams
    • Alessandrini, V.: A general approach to Dual Multiloop Diagrams. Il Nuovo Cim. Vol 2A. N. 2, 321 (1971)
    • (1971) Il Nuovo Cim , vol.2 A , Issue.2 , pp. 321
    • Alessandrini, V.1
  • 5
    • 0000254242 scopus 로고
    • Conformal invariance and surface critical behavior
    • Cardy J.L. (1984). Conformal invariance and surface critical behavior. Nucl. Phys. B 240: 514-532
    • (1984) Nucl. Phys. B , vol.240 , pp. 514-532
    • Cardy, J.L.1
  • 6
    • 33744667096 scopus 로고
    • Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories
    • Cardy J.L. (1986). Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories. Nucl. Phys. B 275: 200-218
    • (1986) Nucl. Phys. B , vol.275 , pp. 200-218
    • Cardy, J.L.1
  • 7
    • 0011402903 scopus 로고
    • Operator content of two-dimensional conformal invariant theories
    • Cardy J.L. (1986). Operator content of two-dimensional conformal invariant theories. Nucl. Phys. B 270: 186-204
    • (1986) Nucl. Phys. B , vol.270 , pp. 186-204
    • Cardy, J.L.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: 581-596
    • (1989) Nucl. Phys. B , vol.324 , pp. 581-596
    • Cardy, J.L.1
  • 9
    • 0000747087 scopus 로고
    • Bulk and boundary operators in conformal field theory
    • Cardy J. and Lewellen D.C. (1991). Bulk and boundary operators in conformal field theory. Phys. Lett. B 259: 274
    • (1991) Phys. Lett. B , vol.259 , pp. 274
    • Cardy, J.1    Lewellen, D.C.2
  • 10
    • 52849136739 scopus 로고    scopus 로고
    • Quantization of Lie bialgebras. V. Quantum vertex operator algebras
    • Etingof P. and Kazhdan D. (2000). Quantization of Lie bialgebras. V. Quantum vertex operator algebras. Selecta Math (N.S.) 6: 105-130
    • (2000) Selecta Math (N.S.) , vol.6 , pp. 105-130
    • Etingof, P.1    Kazhdan, D.2
  • 11
    • 0000455771 scopus 로고    scopus 로고
    • Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology
    • Felder G., Fröhlich J., Fuchs J. and Schweigert C. (2002). Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Compos. Math. 131: 189-237
    • (2002) Compos. Math. , vol.131 , pp. 189-237
    • Felder, G.1    Fröhlich, J.2    Fuchs, J.3    Schweigert, C.4
  • 12
    • 33750720971 scopus 로고    scopus 로고
    • TFT construction of RCFTcorrelators V: Proof of modular invariance and factorisation
    • Fjelstad J., Fuchs J., Runkel I. and Schweigert C. (2006). TFT construction of RCFTcorrelators V: Proof of modular invariance and factorisation. Theory and Appl of Categ. 16: 342-433
    • (2006) Theory and Appl of Categ. , vol.16 , pp. 342-433
    • Fjelstad, J.1    Fuchs, J.2    Runkel, I.3    Schweigert, C.4
  • 13
    • 0002668119 scopus 로고
    • On axiomatic approaches to vertex operator algebras and modules
    • Providence KI: Amer. Math. Soc.
    • Frenkel, I.B., Huang, Y.-Z., Lepowsky, J.: On axiomatic approaches to vertex operator algebras and modules. Mem. Amer. Math. Soc. 104/494, Providence KI: Amer. Math. Soc. 1993
    • (1993) Mem. Amer. Math. Soc. , vol.104-494
    • Frenkel, I.B.1    Huang, Y.-Z.2    Lepowsky, J.3
  • 15
    • 0037060902 scopus 로고    scopus 로고
    • Conformal correlation functions, Frobenius algebras and triangulations
    • Fuchs J., Runkel I. and Schweigert C. (2002). Conformal correlation functions, Frobenius algebras and triangulations. Nuc. Phys. B 624: 452-468
    • (2002) Nuc. Phys. B , vol.624 , pp. 452-468
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 16
    • 0347603901 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators I: Partition functions
    • Fuchs J., Runkel I. and Schweigert C. (2004). TFT construction of RCFT correlators I: Partition functions. Nucl. Phys. B. 678: 511
    • (2004) Nucl. Phys. , vol.678 , pp. 511
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 17
    • 4043087990 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators III: Simple currents
    • Fuchs J., Runkel I. and Schweigert C. (2004). TFT construction of RCFT correlators III: Simple currents. Nucl. Phys. B. 694: 277
    • (2004) Nucl. Phys. , vol.694 , pp. 277
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 18
    • 17844370264 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators IV: Structure constants and correlation functions
    • Fuchs J., Runkel I. and Schweigert C. (2005). TFT construction of RCFT correlators IV: Structure constants and correlation functions. Nucl. Phys. B. 715: 539-638
    • (2005) Nucl. Phys. B. , vol.715 , pp. 539-638
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 21
    • 0346643679 scopus 로고    scopus 로고
    • Category theory for conformal boundary conditions
    • Fuchs J. and Schweigert C. (2003). Category theory for conformal boundary conditions. Fields Institute Commun. 39: 25
    • (2003) Fields Institute Commun. , vol.39 , pp. 25
    • Fuchs, J.1    Schweigert, C.2
  • 23
    • 0025789737 scopus 로고
    • Geometric interpretation of vertex operator algebras
    • Huang Y.-Z. (1991). Geometric interpretation of vertex operator algebras. Proc. Natl. Acad. Sci. USA 88: 9964-9968
    • (1991) Proc. Natl. Acad. Sci. USA , vol.88 , pp. 9964-9968
    • Huang, Y.-Z.1
  • 24
    • 0001645655 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra, IV
    • Huang Y.-Z. (1995). A theory of tensor products for module categories for a vertex operator algebra, IV. J. Pure Appl. Alg. 100: 173-216
    • (1995) J. Pure Appl. Alg. , vol.100 , pp. 173-216
    • Huang, Y.-Z.1
  • 25
    • 0003317510 scopus 로고    scopus 로고
    • Two-dimensional conformal geometry and vertex operator algebras
    • Boston: Birkhäuser
    • Huang, Y.-Z.: Two-dimensional conformal geometry and vertex operator algebras. Progress in Mathematics, Vol. 148, Boston: Birkhäuser 1997
    • (1997) Progress in Mathematics , vol.148
    • Huang, Y.-Z.1
  • 26
    • 0000694726 scopus 로고    scopus 로고
    • Intertwining operator algebras, genus-zero modular functors and genus-zero conformal field theories
    • Operads: Proceedings of Renaissance Conferences, ed. J.-L. Loday, J. Stasheff, A. A. Voronov Providence, RI: Amer. Math. Soc.
    • Huang, Y.-Z.: Intertwining operator algebras, genus-zero modular functors and genus-zero conformal field theories. In: Operads: Proceedings of Renaissance Conferences, ed. J.-L. Loday, J. Stasheff, A. A. Voronov, Comtemporary Math., Vol. 202, Providence, RI: Amer. Math. Soc., 1997, pp.335-355
    • (1997) Comtemporary Math. , vol.202 , pp. 335-355
    • Huang, Y.-Z.1
  • 27
    • 0032209734 scopus 로고    scopus 로고
    • Genus-zero modular functors and intertwining operator algebras
    • Huang Y.-Z. (1998). Genus-zero modular functors and intertwining operator algebras. Internat, J. Math. 9: 845-863
    • (1998) Internat, J. Math. , vol.9 , pp. 845-863
    • Huang, Y.-Z.1
  • 28
    • 13244256134 scopus 로고    scopus 로고
    • Riemann surfaces with boundaries and the theory of vertex operator algebras
    • Huang Y.-Z. (2003). Riemann surfaces with boundaries and the theory of vertex operator algebras. Fields Institute Commun. 39: 109
    • (2003) Fields Institute Commun. , vol.39 , pp. 109
    • Huang, Y.-Z.1
  • 29
    • 20644454895 scopus 로고    scopus 로고
    • Differential equations and intertwining operators
    • Huang Y.-Z. (2005). Differential equations and intertwining operators. Comm. Contemp. Math. 7: 375-400
    • (2005) Comm. Contemp. Math. , vol.7 , pp. 375-400
    • Huang, Y.-Z.1
  • 30
    • 43549111485 scopus 로고    scopus 로고
    • Vertex operator algebras and the Verlinde conjecture
    • to appear; availble at
    • Huang, Y.-Z.: Vertex operator algebras and the Verlinde conjecture. Comm. Contemp. Math., to appear; availble at http://arxiv.org/list/math.QA/0406291, 2004
    • (2004) Comm. Contemp. Math.
    • Huang, Y.-Z.1
  • 31
    • 7444225253 scopus 로고    scopus 로고
    • Open-string vertex algebra, category and operad
    • Huang Y.-Z. and Kong L. (2004). Open-string vertex algebra, category and operad. Commun. Math. Phys. 250: 433-471
    • (2004) Commun. Math. Phys. , vol.250 , pp. 433-471
    • Huang, Y.-Z.1    Kong, L.2
  • 34
    • 12944291376 scopus 로고    scopus 로고
    • Closed and open conformal field theories and their anomalies
    • 1
    • Hu P. and Kriz I. (2005). Closed and open conformal field theories and their anomalies. Commun. Math. Phys. 254(1): 221-253
    • (2005) Commun. Math. Phys. , vol.254 , pp. 221-253
    • Hu, P.1    Kriz, I.2
  • 35
    • 0000218156 scopus 로고
    • Vertex operator algebras and operads
    • ed. L. Corwin, I. Gelfand, J. Lepowsky, Boston: Birkhäuser
    • Huang, Y.-Z., Lepowsky, J.: Vertex operator algebras and operads. In: The Gelfand Mathematical Seminars, 1990-1992, ed. L. Corwin, I. Gelfand, J. Lepowsky, Boston: Birkhäuser 1993, pp. 145-161
    • (1993) The Gelfand Mathematical Seminars, 1990-1992 , pp. 145-161
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 36
    • 0002624352 scopus 로고
    • Tensor products of modules for a vertex operator algebra and vertex tensor categories
    • in honor of Bertram Kostant, ed. R. Brylinski, J.-L. Brylinski, V. Guillemin, V. Kac, Boston: Birkhäuser
    • Huang, Y.-Z., Lepowsky, J.: Tensor products of modules for a vertex operator algebra and vertex tensor categories. In: Lie Theory and Geometry, in honor of Bertram Kostant, ed. R. Brylinski, J.-L. Brylinski, V. Guillemin, V. Kac, Boston: Birkhäuser, 1994, pp. 349-383
    • (1994) Lie Theory and Geometry , pp. 349-383
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 37
    • 0000893321 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra
    • Huang Y.-Z. and Lepowsky J. (1995). A theory of tensor products for module categories for a vertex operator algebra. I. Selecta Math (N.S.) 1: 699-756
    • (1995) I. Selecta Math (N.S.) , vol.1 , pp. 699-756
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 38
    • 34249759387 scopus 로고
    • A theory of tensor products for module categories for a vertex operator, algebra II
    • Huang Y.-Z. and Lepowsky J. (1995). A theory of tensor products for module categories for a vertex operator, algebra II. Selecta Math. (N.S.) 1: 757-786
    • (1995) Selecta Math. (N.S.) , vol.1 , pp. 757-786
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 39
    • 0001645660 scopus 로고
    • A theory of tensor products for module categories for a vertex operator algebra, III
    • Huang Y.-Z. and Lepowsky J. (1995). A theory of tensor products for module categories for a vertex operator algebra, III. J. Pure Appl. Alg. 100: 141-171
    • (1995) J. Pure Appl. Alg. , vol.100 , pp. 141-171
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 41
    • 34247529130 scopus 로고    scopus 로고
    • Full field algebras, operads and tensor categories
    • Kong L. (2007). Full field algebras, operads and tensor categories. Adv. Math 213: 271-340
    • (2007) Adv. Math , vol.213 , pp. 271-340
    • Kong, L.1
  • 43
    • 0003193329 scopus 로고    scopus 로고
    • Operads and motives in deformation quantization
    • Kontsevich M. (1999). Operads and motives in deformation quantization. Lett. Math. Phy. 48: 35-72
    • (1999) Lett. Math. Phy. , vol.48 , pp. 35-72
    • Kontsevich, M.1
  • 45
    • 33645159110 scopus 로고    scopus 로고
    • Nonlocal vertex algebras generated by formal vertex operators
    • 3-4
    • Li H.S. (2005). Nonlocal vertex algebras generated by formal vertex operators. Selecta Math. (N.S.) 11(3-4): 349-397
    • (2005) Selecta Math. (N.S.) , vol.11 , pp. 349-397
    • Li, H.S.1
  • 46
    • 33645962849 scopus 로고    scopus 로고
    • Constructing quantum vertex algebras
    • 4
    • Li H.S. (2006). Constructing quantum vertex algebras. Internat. J. Math. 17(4): 441-476
    • (2006) Internat. J. Math. , vol.17 , pp. 441-476
    • Li, H.S.1
  • 48
    • 0038309312 scopus 로고    scopus 로고
    • Module categories, weak Hopf algebras and modular invariants
    • Ostrik V. (2003). Module categories, weak Hopf algebras and modular invariants. Transform. Groups 8: 177-206
    • (2003) Transform. Groups , vol.8 , pp. 177-206
    • Ostrik, V.1
  • 49
    • 0011451310 scopus 로고
    • The definition of conformal field theory
    • Differential geometrical methods in theoretical physics (Como) Dordrecht: Kluwer Acad. Publ.
    • Segal, G.: The definition of conformal field theory. In: Differential geometrical methods in theoretical physics (Como, 1987), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 250, Dordrecht: Kluwer Acad. Publ. 1988, pp. 165-171
    • (1987) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.250 , pp. 165-171
    • Segal, G.1
  • 51
    • 33645579078 scopus 로고    scopus 로고
    • Topology, geometry and quantum field theory
    • ed. U. Tillmann Cambridge: Cambridge University Press
    • also in: Topology, geometry and quantum field theory, ed. U. Tillmann, London Math. Soc. Lect. Note Ser., Vol. 308. Cambridge: Cambridge University Press, 2004, pp. 421-577
    • (2004) London Math. Soc. Lect. Note Ser. , vol.308 , pp. 421-577
  • 52
    • 0041744673 scopus 로고    scopus 로고
    • The Swiss-cheese operad
    • Homotopy invariant algebraic structures, in honor of J. Michael Boardman, Proc. of the AMS Special Session on Homotopy Theory, Baltimore ed. J.-P. Meyer, J. Morava, W. S. Wilson Providence, RI: Amer. Math. Soc.
    • Voronov, A.A.: The Swiss-cheese operad. In: Homotopy invariant algebraic structures, in honor of J. Michael Boardman, Proc. of the AMS Special Session on Homotopy Theory, Baltimore, 1998, ed. J.-P. Meyer, J. Morava, W. S. Wilson, Contemporary Math., Vol. 239, Providence, RI: Amer. Math. Soc. 1999, pp. 365-373
    • (1998) Contemporary Math. , vol.239 , pp. 365-373
    • Voronov, A.A.1


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