메뉴 건너뛰기




Volumn 185, Issue 2, 2004, Pages 400-458

Erratum: "Quantum reduction and representation theory of superconformal algebras" (Advances in Mathematics (2004) vol. 185 (400-458) 10.1016/j.aim.2003.12.005);Quantum reduction and representation theory of superconformal algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3543060039     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aim.2005.01.001     Document Type: Erratum
Times cited : (227)

References (44)
  • 1
    • 0037991108 scopus 로고    scopus 로고
    • Field algebras
    • QA/0204282
    • Bakalov B. Kac V.G. Field algebras IMRN 3 2003 123-159 QA/0204282
    • (2003) IMRN , vol.3 , pp. 123-159
    • Bakalov, B.1    Kac, V.G.2
  • 2
    • 0002370172 scopus 로고
    • Conformal field theory via Hamiltonian reduction
    • Bershadsky M. Conformal field theory via Hamiltonian reduction Comm. Math. Phys. 139 1991 71-82
    • (1991) Comm. Math. Phys. , vol.139 , pp. 71-82
    • Bershadsky, M.1
  • 4
    • 0031556450 scopus 로고    scopus 로고
    • Real forms of non-linear superconformal and quasisuperconformal algebras and their unified realizations
    • Bina B. Gunaydin M. Real forms of non-linear superconformal and quasisuperconformal algebras and their unified realizations Nucl. Phys. B 502 1997 713-740
    • (1997) Nucl. Phys. B , vol.502 , pp. 713-740
    • Bina, B.1    Gunaydin, M.2
  • 5
    • 0040582769 scopus 로고
    • The relation between quantum W-algebras and Lie algebras
    • de Boer J. Tjin T. The relation between quantum W-algebras and Lie algebras Comm. Math. Phys. 160 1994 317-332
    • (1994) Comm. Math. Phys. , vol.160 , pp. 317-332
    • de Boer, J.1    Tjin, T.2
  • 6
    • 3543059712 scopus 로고    scopus 로고
    • Vertex algebras generated by primary fields of conformal weight 1 and 3/2
    • MIT Thesis, MIT, Cambridge, MA
    • A. De Sole, Vertex algebras generated by primary fields of conformal weight 1 and 3/2, MIT Thesis, MIT, Cambridge, MA, 2003.
    • (2003)
    • De Sole, A.1
  • 7
    • 45949115394 scopus 로고
    • Unitary representation of the N = 4 superconformal algebra
    • Eguchi T. Taormina A. Unitary representation of the N = 4 superconformal algebra, Phys. Lett. B 196 (1987) 75-81
    • (1987) Phys. Lett. B , vol.196 , pp. 75-81
    • Eguchi, T.1    Taormina, A.2
  • 8
    • 0000057381 scopus 로고
    • Character formulas for the N = 4 superconformal algebra
    • Eguchi T. Taormina A. Character formulas for the N = 4 superconformal algebra, Phys. Lett. B 200 (1988) 315-322
    • (1988) Phys. Lett. B , vol.200 , pp. 315-322
    • Eguchi, T.1    Taormina, A.2
  • 9
    • 0043006565 scopus 로고
    • On the unitary representations of N = 2 and N = 4 superconformal algebras
    • Eguchi T. Taormina A. On the unitary representations of N = 2 and N = 4 superconformal algebras Phys. Lett. B 210 1988 125-132
    • (1988) Phys. Lett. B , vol.210 , pp. 125-132
    • Eguchi, T.1    Taormina, A.2
  • 10
    • 3543100687 scopus 로고    scopus 로고
    • Classification of good gradings of simple Lie algebras
    • math-ph/0312030
    • A.G. Elashvili, V.G. Kac, Classification of good gradings of simple Lie algebras, math-ph/0312030.
    • Elashvili, A.G.1    Kac, V.G.2
  • 11
    • 0036961173 scopus 로고    scopus 로고
    • Classification of finite simple Lie conformal superalgebras
    • Fattori D. Kac V.G. Classification of finite simple Lie conformal superalgebras J. Algebra 258 2002 23-59
    • (2002) J. Algebra , vol.258 , pp. 23-59
    • Fattori, D.1    Kac, V.G.2
  • 12
    • 0001986175 scopus 로고
    • Quantization of Drinfeld - Sokolov reduction
    • Feigin B.L. Frenkel E. Quantization of Drinfeld-Sokolov reduction Phys. Lett. B 246 1990 75-81
    • (1990) Phys. Lett. B , vol.246 , pp. 75-81
    • Feigin, B.L.1    Frenkel, E.2
  • 13
    • 0010028334 scopus 로고
    • Affine Kac-Moody algebras, bosonization and resolutions
    • Feigin B.L. Frenkel E. Affine Kac-Moody algebras, bosonization and resolutions Lett. Math. Phys. 19 1990 307-317
    • (1990) Lett. Math. Phys. , vol.19 , pp. 307-317
    • Feigin, B.L.1    Frenkel, E.2
  • 14
    • 0043085741 scopus 로고
    • Classification of superconformal and quasisuperconformal algebras in two dimensions
    • Fradkin E.S. Linetsky V.Ya. Classification of superconformal and quasisuperconformal algebras in two dimensions Phys. Lett. B 291 1992 71-76
    • (1992) Phys. Lett. B , vol.291 , pp. 71-76
    • Fradkin, E.S.1    Linetsky, V.Ya.2
  • 15
    • 0003348053 scopus 로고    scopus 로고
    • Vertex algebras and algebraic curves
    • E. Frenkel, D. Ben-Zvi, Vertex algebras and algebraic curves, AMS monographs 88, 2001.
    • (2001) AMS Monographs , vol.88
    • Frenkel, E.1    Ben-Zvi, D.2
  • 16
    • 0000194140 scopus 로고
    • Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction
    • Frenkel E. Kac V. Wakimoto M. Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction Comm. Math. Phys. 147 1992 295-328
    • (1992) Comm. Math. Phys. , vol.147 , pp. 295-328
    • Frenkel, E.1    Kac, V.2    Wakimoto, M.3
  • 17
    • 0000844281 scopus 로고
    • Factoring out free fermions and superconformal algebras
    • Goddard P. Schwimmer A. Factoring out free fermions and superconformal algebras Phys. Lett. 214 B 1988 209-214
    • (1988) Phys. Lett. , vol.214 B , pp. 209-214
    • Goddard, P.1    Schwimmer, A.2
  • 18
    • 0038038634 scopus 로고    scopus 로고
    • Gerbes of chiral differential operators II
    • preprint math. AG/0003170
    • V. Gorbounov, F. Malikov, V. Schechtman, Gerbes of chiral differential operators II, preprint math. AG/0003170.
    • Gorbounov, V.1    Malikov, F.2    Schechtman, V.3
  • 19
    • 0010071955 scopus 로고
    • Quantum N = 3, 4 superconformal WZW sigma models
    • Ivanov E. Krivonos S. Leviant V. Quantum N = 3, 4 superconformal WZW sigma models Phys. Lett. B 215 1988 689695
    • (1988) Phys. Lett. B , vol.215 , pp. 689-695
    • Ivanov, E.1    Krivonos, S.2    Leviant, V.3
  • 20
    • 49449126179 scopus 로고
    • Lie superalgebras
    • Kac V.G. Lie superalgebras Adv. Math. 26 1977 8-96
    • (1977) Adv. Math. , vol.26 , pp. 8-96
    • Kac, V.G.1
  • 21
    • 0001073962 scopus 로고
    • Contravariant form for infinite-dimensional Lie algebras and superalgebras
    • Kac V.G. Contravariant form for infinite-dimensional Lie algebras and superalgebras Lecture Notes Phys. 94 1979 441-445
    • (1979) Lecture Notes Phys. , vol.94 , pp. 441-445
    • Kac, V.G.1
  • 23
    • 0003354781 scopus 로고    scopus 로고
    • Vertex Algebras for Beginners
    • AMS, Providence, RI, 1996, Second Edition
    • V.G. Kac, Vertex Algebras for Beginners, University Lecture Notes, Vol. 10, AMS, Providence, RI, 1996, Second Edition, 1998.
    • (1998) University Lecture Notes , vol.10
    • Kac, V.G.1
  • 24
    • 0242310484 scopus 로고    scopus 로고
    • Classification of supersymmetries
    • Beijing, August math-ph/0302016
    • V.G. Kac, Classification of supersymmetries, ICM Talk, Beijing, August 2002, math-ph/0302016.
    • (2002) ICM Talk
    • Kac, V.G.1
  • 25
    • 49249141707 scopus 로고
    • Structure of representations with highest weight of infinite-dimensional Lie algebras
    • Kac V.G. Kazhdan D.A. Structure of representations with highest weight of infinite-dimensional Lie algebras Adv. Math. 34 1979 97-108
    • (1979) Adv. Math. , vol.34 , pp. 97-108
    • Kac, V.G.1    Kazhdan, D.A.2
  • 26
    • 0003362879 scopus 로고
    • On classification of superconformal algebras
    • Gates S.J. et al. (Eds.), World Scientific, Singapore
    • V.G. Kac, J.W. van de Leur, On classification of superconformal algebras, in: S.J. Gates, et al. (Eds.), Strings 88, World Scientific, Singapore, 1989, pp. 77-106.
    • (1989) Strings 88 , pp. 77-106
    • Kac, V.G.1    van de Leur, J.W.2
  • 27
    • 0003290251 scopus 로고
    • Bombay lectures on highest weight representations of infinite dimensional Lie algebras
    • Singapore: World Scientific
    • Kac V.G. Raina A.K. Bombay lectures on highest weight representations of infinite dimensional Lie algebras Advanced Series in Mathematical Physics Vol. 2 1987 World Scientific Singapore
    • (1987) Advanced Series in Mathematical Physics , vol.2
    • Kac, V.G.1    Raina, A.K.2
  • 28
    • 0242275987 scopus 로고    scopus 로고
    • Quantum reduction for affine superalgebras
    • math-ph/0302015
    • Kac V.G. Roan S.-S. Wakimoto M. Quantum reduction for affine superalgebras Comm. Math. Phys. 241 2003 307-342 math-ph/0302015
    • (2003) Comm. Math. Phys. , vol.241 , pp. 307-342
    • Kac, V.G.1    Roan, S.-S.2    Wakimoto, M.3
  • 29
    • 0000344632 scopus 로고
    • Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz and Ramond algebras
    • Springer, Berlin
    • V.G. Kac, M. Wakimoto, Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz and Ramond algebras, Lecture Notes in Physics, Vol. 261, Springer, Berlin, 1986, pp. 345-371.
    • (1986) Lecture Notes in Physics , vol.261 , pp. 345-371
    • Kac, V.G.1    Wakimoto, M.2
  • 30
    • 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 4956-4960
    • (1988) Proc. Natl. Acad. Sci. USA , vol.85 , pp. 4956-4960
    • Kac, V.G.1    Wakimoto, M.2
  • 31
    • 0000173476 scopus 로고
    • Classification of modular invariant representations of affine algebras
    • Advanced Series in Infinite-dimensional Lie Algebras and Groups, World Scientific, Singapore
    • V.G. Kac, M. Wakimoto, Classification of modular invariant representations of affine algebras, in: Advanced Series in Infinite-dimensional Lie Algebras and Groups, Mathematical Physics, Vol. 7, World Scientific, Singapore, 1989, pp. 138-177.
    • (1989) Mathematical Physics , vol.7 , pp. 138-177
    • Kac, V.G.1    Wakimoto, M.2
  • 32
    • 0000192792 scopus 로고
    • Integrable highest weight modules over affine superalgebras and number theory
    • Birkhäuser, Boston
    • V.G. Kac, M. Wakimoto, Integrable highest weight modules over affine superalgebras and number theory, Progress in Mathematics, Vol. 123, Birkhäuser, Boston, 1994, pp. 415-456.
    • (1994) Progress in Mathematics , vol.123 , pp. 415-456
    • Kac, V.G.1    Wakimoto, M.2
  • 33
    • 0035530552 scopus 로고    scopus 로고
    • Integrable highest weight modules over affine superalgebras and Appell's function
    • Kac V.G. Wakimoto M. Integrable highest weight modules over affine superalgebras and Appell's function Comm. Math. Phys. 215 2001 631-682
    • (2001) Comm. Math. Phys. , vol.215 , pp. 631-682
    • Kac, V.G.1    Wakimoto, M.2
  • 34
    • 3543123876 scopus 로고    scopus 로고
    • Quantum reduction in the twisted case
    • (in preparation)
    • V.G. Kac, M.Wakimoto, Quantum reduction in the twisted case (in preparation).
    • Kac, V.G.1    Wakimoto, M.2
  • 35
    • 3543066709 scopus 로고    scopus 로고
    • Quantum reduction and characters of superconformal algebras
    • (in preparation)
    • V.G. Kac, M. Wakimoto, Quantum reduction and characters of superconformal algebras (in preparation).
    • Kac, V.G.1    Wakimoto, M.2
  • 36
    • 0000907916 scopus 로고
    • Null field construction and Kac formulae of N = 2 superconformal algebras in two dimensions
    • Kato M. Matsuda S. Null field construction and Kac formulae of N = 2 superconformal algebras in two dimensions Phys. Lett. B 184 1987 184-190
    • (1987) Phys. Lett. B , vol.184 , pp. 184-190
    • Kato, M.1    Matsuda, S.2
  • 37
    • 0000163816 scopus 로고
    • Determinant formulae for the N = 4 superconformal algebras
    • Kent A. Riggs H. Determinant formulae for the N = 4 superconformal algebras Phys. Lett. B 198 1987 491-497
    • (1987) Phys. Lett. B , vol.198 , pp. 491-497
    • Kent, A.1    Riggs, H.2
  • 38
    • 1542342245 scopus 로고
    • The representation theory of the SO(3) invariant superconformal algebra
    • Miki K. The representation theory of the SO(3) invariant superconformal algebra Internat. J. Mod. Phys. A 5 1990 1293-1318
    • (1990) Internat. J. Mod. Phys. A , vol.5 , pp. 1293-1318
    • Miki, K.1
  • 39
    • 0010920983 scopus 로고
    • O(N)-extended superconformal field theory in superspace
    • Schoutens K. O(N)-extended superconformal field theory in superspace Nucl. Phys. B 295 1988 634-652
    • (1988) Nucl. Phys. B , vol.295 , pp. 634-652
    • Schoutens, K.1
  • 40
    • 0001415181 scopus 로고
    • Superconformal algebras in two dimensions with N = 4
    • Severin A. Troost W. Van Proyen A. Superconformal algebras in two dimensions with N=4 Phys. Lett. B 208 1988 447-450
    • (1988) Phys. Lett. B , vol.208 , pp. 447-450
    • Severin, A.1    Troost, W.2    Van Proyen, A.3
  • 41
    • 0011552586 scopus 로고
    • Extensions of the Virasoro algebra and gauged WZW models
    • Severin A. Troost W. Extensions of the Virasoro algebra and gauged WZW models Phys. Lett. B 315 1993 304-310
    • (1993) Phys. Lett. B , vol.315 , pp. 304-310
    • Severin, A.1    Troost, W.2
  • 42
    • 0002699570 scopus 로고
    • Factorizable dual models of pions
    • Neveu A. Schwarz J.H. Factorizable dual models of pions Nucl. Phys. B 31 1971 86-112
    • (1971) Nucl. Phys. B , vol.31 , pp. 86-112
    • Neveu, A.1    Schwarz, J.H.2
  • 43
    • 0000799807 scopus 로고
    • Computing Kac determinant using dual models techniques and more about the no-ghost theorem
    • Thorn C.B. Computing Kac determinant using dual models techniques and more about the no-ghost theorem Nucl. Phys. B 248 1984 551-569
    • (1984) Nucl. Phys. B , vol.248 , pp. 551-569
    • Thorn, C.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.