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Volumn 180, Issue 3, 1996, Pages 671-707

Simple currents and extensions of Vertex operator algebras

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EID: 0003056783     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02099628     Document Type: Article
Times cited : (114)

References (34)
  • 1
    • 0010882054 scopus 로고
    • Infinite conformal symmetries in two-dimensional quantum field theory
    • [BPZ] Belavin, A., Polyakov, A.M., Zamolodchikov, A.B.: Infinite conformal symmetries in two-dimensional quantum field theory. Nucl. Phys. B241, 333-380 (1984)
    • (1984) Nucl. Phys. , vol.B241 , pp. 333-380
    • Belavin, A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 2
    • 0001056693 scopus 로고
    • Vertex algebras, Kac-Moody algebras, and the monster
    • [B] Borcherds, R.E.: Vertex algebras, Kac-Moody algebras, and the Monster. Proc. Natl. Acad. Sci. USA 83, 3068-3071 (1986)
    • (1986) Proc. Natl. Acad. Sci. USA , vol.83 , pp. 3068-3071
    • Borcherds, R.E.1
  • 3
    • 0000292099 scopus 로고
    • Vertex algebras associated with even lattices
    • Dong, C.: Vertex algebras associated with even lattices. J. Algebra 161, 245-265 (1993)
    • (1993) J. Algebra , vol.161 , pp. 245-265
    • Dong, C.1
  • 4
    • 43949148975 scopus 로고
    • Twisted modules for vertex operator algebras associated with even lattices
    • Dong, C.: Twisted modules for vertex operator algebras associated with even lattices. J. Algebra 165, 91-112 (1993)
    • (1993) J. Algebra , vol.165 , pp. 91-112
    • Dong, C.1
  • 5
    • 0003353671 scopus 로고
    • Generalized vertex algebras and relative vertex operators
    • Boston: Birkhauser
    • Dong, C., Lepowsky, J.: Generalized Vertex Algebras and Relative Vertex Operators. Progress in Math. Vol. 112, Boston: Birkhauser, 1993
    • (1993) Progress in Math. , vol.112
    • Dong, C.1    Lepowsky, J.2
  • 6
    • 0031537365 scopus 로고    scopus 로고
    • Regularity of rational vertex operator algebras
    • q-alg/9508018
    • Dong, C., Li, H., Mason, G.: Regularity of rational vertex operator algebras. Adv. Math., to appear, q-alg/9508018
    • Adv. Math.
    • Dong, C.1    Li, H.2    Mason, G.3
  • 8
    • 21344478795 scopus 로고
    • Nonabelian orbifolds and the boson-fermion correspondence
    • [DM] Dong, C., Mason, G.: Nonabelian orbifolds and the boson-fermion correspondence. Commun. Math. Phys. 163, 523-559 (1994)
    • (1994) Commun. Math. Phys. , vol.163 , pp. 523-559
    • Dong, C.1    Mason, G.2
  • 10
    • 0002668119 scopus 로고
    • On axiomatic approaches to vertex operator algebras and modules
    • [FHL] Frenkel, I., Huang, Y.-Z., Lepowsky, J.: On axiomatic approaches to vertex operator algebras and modules. Memoirs Amer. Math. Soc. 104, 1993
    • (1993) Memoirs Amer. Math. Soc. , vol.104
    • Frenkel, I.1    Huang, Y.-Z.2    Lepowsky, J.3
  • 11
    • 0003207360 scopus 로고
    • Vertex operator algebras and the monster
    • Boston: Academic Press
    • [FLM] Frenkel, I. Lepowsky, J., Meurman, A.: Vertex Operator Algebras and the Monster. Pure and Appl. Math. Vol. 134, Boston: Academic Press, 1988
    • (1988) Pure and Appl. Math. , vol.134
    • Frenkel, I.1    Lepowsky, J.2    Meurman, A.3
  • 12
    • 84973998987 scopus 로고
    • Vertex operator algebras associated to representations of affine and Virasoro algebras
    • [FZ] Frenkel, I., Zhu, Y.-C.: Vertex operator algebras associated to representations of affine and Virasoro algebras. Duke Math. J. 66, 123-168 (1992)
    • (1992) Duke Math. J. , vol.66 , pp. 123-168
    • Frenkel, I.1    Zhu, Y.-C.2
  • 13
    • 0000104940 scopus 로고
    • Simple WZW currents
    • [F] Fuchs, J.: Simple WZW currents. Commun. Math. Phys. 136, 345-356 (1991)
    • (1991) Commun. Math. Phys. , vol.136 , pp. 345-356
    • Fuchs, J.1
  • 14
    • 0001935918 scopus 로고    scopus 로고
    • On the connection between WZW and free field theories
    • [FG] Fuchs, J., Gepner, D.: On the connection between WZW and free field theories. Nucl. Phys. B294, 30-42 (1998)
    • (1998) Nucl. Phys. , vol.B294 , pp. 30-42
    • Fuchs, J.1    Gepner, D.2
  • 16
    • 0001828231 scopus 로고
    • A nonmeromorphic extension of the moonshine module vertex operator algebra
    • [Hua] Huang, Y.-Z.: A nonmeromorphic extension of the moonshine module vertex operator algebra. Contemp. Math. 193, 123-148 (1995)
    • (1995) Contemp. Math. , vol.193 , pp. 123-148
    • Huang, Y.-Z.1
  • 17
    • 0000950589 scopus 로고
    • Towards a theory of tensor product for representations for a vertex operator algebra
    • New York, 1991, ed. S. Catto and A. Rocha, Singapore: World Scientific
    • Huang, Y.-Z., Lepowsky, J.: Towards a theory of tensor product for representations for a vertex operator algebra. In: proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, 1991, ed. S. Catto and A. Rocha, Singapore: World Scientific, 1992, Vol. 1, pp. 344-354
    • (1992) Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics , vol.1 , pp. 344-354
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 18
    • 34249759387 scopus 로고    scopus 로고
    • A theory of tensor product for module category of a vertex operator algebra, I, II
    • Huang, Y.-Z., Lepowsky, J.: A theory of tensor product for module category of a vertex operator algebra, I, II. Selecta Mathematica, to appear
    • Selecta Mathematica
    • Huang, Y.-Z.1    Lepowsky, J.2
  • 19
    • 0003198090 scopus 로고
    • Introduction to Lie algebras and representation theory
    • New York: Springer-Verlag
    • [H] Humphreys, J.E.: Introduction to Lie algebras and representation theory. Graduate Texts in Mathematics 9, New York: Springer-Verlag, 1984
    • (1984) Graduate Texts in Mathematics , vol.9
    • Humphreys, J.E.1
  • 21
    • 0000194544 scopus 로고
    • Vertex operator superalgebras and representations
    • [KW] Kac, V.G., Wang, W.-Q.: Vertex operator superalgebras and representations. Contemp. Math. Vol. 175, 161-191 (1994)
    • (1994) Contemp. Math. , vol.175 , pp. 161-191
    • Kac, V.G.1    Wang, W.-Q.2
  • 22
    • 0001008519 scopus 로고
    • Calculus of twisted vertex operators
    • [Le] Lepowsky, J.: Calculus of twisted vertex operators. Proc. Natl. Acad Sci. USA 82, 8295-8299 (1985)
    • (1985) Proc. Natl. Acad Sci. USA , vol.82 , pp. 8295-8299
    • Lepowsky, J.1
  • 23
    • 0000697039 scopus 로고
    • Standard modules for type one affine Lie algebras
    • Number Theory, New York, 1982, New York: Springer-Verlag
    • [LP] Lepowsky, J., Prime, M.: Standard modules for type one affine Lie algebras. In: Number Theory, New York, 1982, Lectures Notes in Math. 1052, New York: Springer-Verlag, 1984, pp. 194-251
    • (1984) Lectures Notes in Math. , vol.1052 , pp. 194-251
    • Lepowsky, J.1    Prime, M.2
  • 24
    • 0030578141 scopus 로고    scopus 로고
    • Local systems of vertex operators, vertex superalgebras and modules
    • Li, H.-S.: Local systems of vertex operators, vertex superalgebras and modules. J. Pure and Appl. Algebra 109, 143-195 (1996)
    • (1996) J. Pure and Appl. Algebra , vol.109 , pp. 143-195
    • Li, H.-S.1
  • 25
    • 0001420767 scopus 로고
    • Local systems of twisted vertex operators, vertex superalgebras and twisted modules
    • Li, H.-S.: Local systems of twisted vertex operators, vertex superalgebras and twisted modules. Contemp. Math. 193, 203-236 (1995)
    • (1995) Contemp. Math. , vol.193 , pp. 203-236
    • Li, H.-S.1
  • 28
    • 0000592967 scopus 로고
    • A characterization of vertex algebras associated to even lattices
    • Li, H.-S., Xu, X.-P.: A characterization of vertex algebras associated to even lattices. J. Algebra 173, 253-270 (1995)
    • (1995) J. Algebra , vol.173 , pp. 253-270
    • Li, H.-S.1    Xu, X.-P.2
  • 29
    • 0000561882 scopus 로고
    • Conformal field algebras with quantum symmetry from the theory of superselection sectors
    • [MaS] Mack, G., Schomerus, V.: Conformal field algebras with quantum symmetry from the theory of superselection sectors. Commun. Math. Phys. 134, 139-196 (1990)
    • (1990) Commun. Math. Phys. , vol.134 , pp. 139-196
    • Mack, G.1    Schomerus, V.2
  • 31
    • 0346763470 scopus 로고
    • Classical and quantum conformal field theory
    • [MoS] Moore, G., Seiberg, N.: Classical and quantum conformal field theory. Commun. Math. Phys. 123, 177-254 (1989)
    • (1989) Commun. Math. Phys. , vol.123 , pp. 177-254
    • Moore, G.1    Seiberg, N.2
  • 33
    • 0000985959 scopus 로고
    • Extended chiral algebras and modular invariant partition functions
    • [SY] Schellekens, A.N., Yankielowicz, S.: Extended chiral algebras and modular invariant partition functions. Nucl. Phys. 327, 673-703 (1989)
    • (1989) Nucl. Phys. , vol.327 , pp. 673-703
    • Schellekens, A.N.1    Yankielowicz, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.