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Volumn 255, Issue 2, 2005, Pages 469-512

Higher-level appell functions, modular transformations, and characters

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EID: 15244353367     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1280-7     Document Type: Article
Times cited : (43)

References (46)
  • 1
    • 0001613190 scopus 로고
    • Lectures on RCFT
    • RU-89-32, Trieste Spring School 1989, London: Plenum
    • Moore, G., Seiberg, N.: Lectures on RCFT. In: Physics, Geometry, and Topology, RU-89-32, Trieste Spring School 1989, London: Plenum, 1990, pp. 263
    • (1990) Physics, Geometry, and Topology , pp. 263
    • Moore, G.1    Seiberg, N.2
  • 2
    • 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. B300, 360 (1988)
    • (1988) Nucl. Phys. , vol.B300 , pp. 360
    • Verlinde, E.1
  • 4
    • 0037328183 scopus 로고    scopus 로고
    • The kernel of the modular representation and the Galois action in RCFT
    • Bantay, P.: The kernel of the modular representation and the Galois action in RCFT. Commun. Math. Phys. 233, 423-438 (2003)
    • (2003) Commun. Math. Phys. , vol.233 , pp. 423-438
    • Bantay, P.1
  • 6
    • 0037049228 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators I: Partition functions
    • Fuchs, J., Runkel, I., Schweigert, C.: TFT construction of RCFT correlators I: Partition functions. Nucl. Phys. B646, 353-497 (2002)
    • (2002) Nucl. Phys. , vol.B646 , pp. 353-497
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 10
    • 0001302993 scopus 로고
    • Infinite-dimensional Lie algebras, theta functions and modular forms
    • Kac, V., Peterson, D.: Infinite-dimensional Lie algebras, theta functions and modular forms. Adv. Math. 53, 125-264 (1984)
    • (1984) Adv. Math. , vol.53 , pp. 125-264
    • Kac, V.1    Peterson, D.2
  • 11
    • 0000192792 scopus 로고
    • Integrable highest weight modules over affine superalgebras and number theory
    • "Lie Theory and Geometry," by J.L. Brylinski, R. Brylinski, V.G. Guillemin, V.Kac, (eds.), Basel-Boston: Birkhäuser
    • Kač, V.G., Wakimoto, M.: Integrable highest weight modules over affine superalgebras and number theory. In: "Lie Theory and Geometry," by J.L. Brylinski, R. Brylinski, V.G. Guillemin, V.Kac, (eds.), Progress in Math. Phys. 123, Basel-Boston: Birkhäuser, 1994, pp. 415-456
    • (1994) Progress in Math. Phys. , vol.123 , pp. 415-456
    • Kač, V.G.1    Wakimoto, M.2
  • 13
    • 0035541283 scopus 로고    scopus 로고
    • Twists and singular vectors in sℓ(2\1) representations
    • Semikhatov, A.M., Taormina, A.: Twists and singular vectors in sℓ(2\1) representations. Teor. Mat. Fiz. 128, 474-491 (2001); [Theor. Math. Phys. 128, 1236-1251 (2001)]
    • (2001) Teor. Mat. Fiz. , vol.128 , pp. 474-491
    • Semikhatov, A.M.1    Taormina, A.2
  • 14
    • 0035541283 scopus 로고    scopus 로고
    • Semikhatov, A.M., Taormina, A.: Twists and singular vectors in sℓ(2\1) representations. Teor. Mat. Fiz. 128, 474-491 (2001); [Theor. Math. Phys. 128, 1236-1251 (2001)]
    • (2001) Theor. Math. Phys. , vol.128 , pp. 1236-1251
  • 15
    • 0032576508 scopus 로고    scopus 로고
    • Resolutions and characters of irreducible representations of the N = 2 superconformal algebra
    • Feigin, B.L., Semikhatov, A.M., Sirota, V.A., Tipunin, I.Yu.: Resolutions and characters of irreducible representations of the N = 2 superconformal algebra. Nucl. Phys. B536, 617-656 (1999)
    • (1999) Nucl. Phys. , vol.B536 , pp. 617-656
    • Feigin, B.L.1    Semikhatov, A.M.2    Sirota, V.A.3    Tipunin, I.Yu.4
  • 16
    • 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. B210, 125 (1988)
    • (1988) Phys. Lett. , vol.B210 , pp. 125
    • Eguchi, T.1    Taormina, A.2
  • 18
    • 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. Commun. Math. Phys. 215, 631-682 (2001)
    • (2001) Commun. Math. Phys. , vol.215 , pp. 631-682
    • Kac, V.G.1    Wakimoto, M.2
  • 19
    • 0001537096 scopus 로고
    • Theory of the double gamma function
    • Barnes, E.W.: Theory of the double gamma function. Phil. Trans. Roy. Soc. A196, 265-388 (1901)
    • (1901) Phil. Trans. Roy. Soc. , vol.A196 , pp. 265-388
    • Barnes, E.W.1
  • 22
    • 0000561791 scopus 로고    scopus 로고
    • Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
    • Faddeev, L.D., Kashaev, R.M., Volkov, A.Yu.: Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality. Commun. Math. Phys. 219, 199-219 (2001)
    • (2001) Commun. Math. Phys. , vol.219 , pp. 199-219
    • Faddeev, L.D.1    Kashaev, R.M.2    Volkov, A.Yu.3
  • 23
    • 0009803410 scopus 로고    scopus 로고
    • Quantum KZ equation with \q\ = 1 and correlation functions of the XXZ model in the gapless regime
    • Jimbo, M., Miwa, T.: Quantum KZ equation with \q\ = 1 and correlation functions of the XXZ model in the gapless regime. J. Phys. A29, 2923-2958 (1996)
    • (1996) J. Phys. , vol.A29 , pp. 2923-2958
    • Jimbo, M.1    Miwa, T.2
  • 24
    • 2442630408 scopus 로고    scopus 로고
    • q(s-fraktur signl-fraktur sign(2, ℝ)), the modular double, and the multiparticle q-deformed Toda chains
    • q(s-fraktur signl-fraktur sign(2, ℝ)), the modular double, and the multiparticle q-deformed Toda chains. Commun. Math. Phys. 225, 573-609 (2002)
    • (2002) Commun. Math. Phys. , vol.225 , pp. 573-609
    • Kharchev, S.1    Lebedev, D.2    Semenov-Tian-Shansky, M.3
  • 25
    • 0001739042 scopus 로고
    • Characterization of Jacobian varieties in terms of soliton equations
    • Shiota, T.: Characterization of Jacobian varieties in terms of soliton equations. Invent. Mat. 83, 333-382 (1986)
    • (1986) Invent. Mat. , vol.83 , pp. 333-382
    • Shiota, T.1
  • 26
    • 0038841982 scopus 로고
    • Conformal characters and theta series
    • Eholzer, W., Skoruppa, N.-P.: Conformal characters and theta series. Lett. Math. Phys. 35, 197 (1995)
    • (1995) Lett. Math. Phys. , vol.35 , pp. 197
    • Eholzer, W.1    Skoruppa, N.-P.2
  • 28
    • 45949121887 scopus 로고
    • Comments on the N = 2, N = 3, N = 4 superconformal algebras in two-dimensions
    • Schwimmer, A., Seiberg, N.: Comments on the N = 2, N = 3, N = 4 superconformal algebras in two-dimensions. Phys. Lett. B184, 191 (1987)
    • (1987) Phys. Lett. , vol.B184 , pp. 191
    • Schwimmer, A.1    Seiberg, N.2
  • 29
    • 0034288951 scopus 로고    scopus 로고
    • Modular invariance of trace functions in orbifold theory
    • Dong, C.Y., Li, H.S., Mason, G.: Modular invariance of trace functions in orbifold theory. Commun. Math. Phys. 214, 1-56 (2000)
    • (2000) Commun. Math. Phys. , vol.214 , pp. 1-56
    • Dong, C.Y.1    Li, H.S.2    Mason, G.3
  • 32
    • 0001574768 scopus 로고    scopus 로고
    • Representation theory of the affine Lie superalgebra sℓ(2|1) at fractional level
    • Bowcock, P., Taormina, A.: Representation theory of the affine Lie superalgebra sℓ(2|1) at fractional level. Commun. Math. Phys. 185, 467-493 (1997)
    • (1997) Commun. Math. Phys. , vol.185 , pp. 467-493
    • Bowcock, P.1    Taormina, A.2
  • 33
    • 0032567581 scopus 로고    scopus 로고
    • Characters of admissible representations of the affine superalgebra sℓ(2\1)
    • Bowcock, P., Hayes, M.R., Taormina, A.: Characters of admissible representations of the affine superalgebra sℓ(2\1). Nucl. Phys. B510, 739-763 (1998)
    • (1998) Nucl. Phys. , vol.B510 , pp. 739-763
    • Bowcock, P.1    Hayes, M.R.2    Taormina, A.3
  • 34
    • 0034311278 scopus 로고    scopus 로고
    • Sℓ(2\1) and D̂(2\ 1; α) as vertex operator extensions of dual affine sℓ(2) algebras
    • Bowcock, P., Feigin, B.L., Semikhatov, A.M., Taormina, A.: sℓ(2\1) and D̂(2\ 1; α) as vertex operator extensions of dual affine sℓ(2) algebras. Commun. Math. Phys. 214, 495-545 (2000)
    • (2000) Commun. Math. Phys. , vol.214 , pp. 495-545
    • Bowcock, P.1    Feigin, B.L.2    Semikhatov, A.M.3    Taormina, A.4
  • 35
    • 0043283117 scopus 로고    scopus 로고
    • Modular transformations and invariants in the context of fractional level affine sℓ(2\1)
    • Johnstone, G.: Modular transformations and invariants in the context of fractional level affine sℓ(2\1). Nucl. Phys. 577B, 646-666 (2000)
    • (2000) Nucl. Phys. , vol.577 B , pp. 646-666
    • Johnstone, G.1
  • 38
    • 24444466098 scopus 로고
    • Hidden Osp (N, 2) symmetries in superconformal field theories
    • Bershadsky, M., Ooguri, H.: Hidden Osp (N, 2) symmetries in superconformal field theories. Phys. Lett. B229, 374 (1989)
    • (1989) Phys. Lett. , vol.B229 , pp. 374
    • Bershadsky, M.1    Ooguri, H.2
  • 39
    • 0000797495 scopus 로고
    • Extended N = 2 superconformal structure of gravity and W gravity coupled to matter
    • Bershadsky, M., Lerche, W., Nemeschansky, D., Warner, N.P.: Extended N = 2 superconformal structure of gravity and W gravity coupled to matter. Nucl. Phys. B401, 304-347 (1993)
    • (1993) Nucl. Phys. , vol.B401 , pp. 304-347
    • Bershadsky, M.1    Lerche, W.2    Nemeschansky, D.3    Warner, N.P.4
  • 40
    • 0000280826 scopus 로고
    • Hamiltonian reduction and topological conformal algebra in c ≤ 1 non-critical strings
    • Ito, K., Kanno, H.: Hamiltonian reduction and topological conformal algebra in c ≤ 1 non-critical strings. Mod. Phys. Lett. A9, 1377 (1994)
    • (1994) Mod. Phys. Lett. , vol.A9 , pp. 1377
    • Ito, K.1    Kanno, H.2
  • 42
    • 0000070791 scopus 로고
    • Logarithmic operators in conformal field theory
    • Gurarie, V.: Logarithmic operators in conformal field theory. Nucl. Phys. B410, 535 (1993)
    • (1993) Nucl. Phys. , vol.B410 , pp. 535
    • Gurarie, V.1
  • 43
    • 0030573958 scopus 로고    scopus 로고
    • Indecomposable fusion products
    • Gaberdiel, M.R., Kausch, H.G.: Indecomposable fusion products. Nucl. Phys. B477, 293 (1996)
    • (1996) Nucl. Phys. , vol.B477 , pp. 293
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 44
    • 0242332349 scopus 로고    scopus 로고
    • Bits and pieces in logarithmic conformal field theory
    • Flohr, M.A.I.: Bits and pieces in logarithmic conformal field theory. Int. J. Mod. Phys. A18, 4497-4592 (2003)
    • (2003) Int. J. Mod. Phys. , vol.A18 , pp. 4497-4592
    • Flohr, M.A.I.1
  • 45
    • 0242300775 scopus 로고    scopus 로고
    • An algebraic approach to logarithmic conformal field theory
    • Gaberdiel, M.R.: An algebraic approach to logarithmic conformal field theory. Int. J. Mod. Phys. A18, 4593-4638 (2003)
    • (2003) Int. J. Mod. Phys. , vol.A18 , pp. 4593-4638
    • Gaberdiel, M.R.1
  • 46
    • 0000657471 scopus 로고
    • Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
    • Kač, V.G., Wakimoto, M.: Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. Proc. Natl. Acad. Sci. USA 85, 4956 (1988)
    • (1988) Proc. Natl. Acad. Sci. USA , vol.85 , pp. 4956
    • Kač, V.G.1    Wakimoto, M.2


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