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Volumn 757, Issue 3, 2006, Pages 303-343

Logarithmic extensions of minimal models: Characters and modular transformations

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EID: 33750704011     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.09.019     Document Type: Article
Times cited : (141)

References (50)
  • 1
    • 0031564927 scopus 로고    scopus 로고
    • The Haldane-Rezayi quantum Hall state and conformal field theory
    • cond-mat/9701212
    • Gurarie V., Flohr M., and Nayak C. The Haldane-Rezayi quantum Hall state and conformal field theory. Nucl. Phys. B 498 (1997) 513-538. cond-mat/9701212
    • (1997) Nucl. Phys. B , vol.498 , pp. 513-538
    • Gurarie, V.1    Flohr, M.2    Nayak, C.3
  • 2
    • 15444371494 scopus 로고    scopus 로고
    • Continuum limit of the integrable s l (2 / 1)3 - over(3, ̄) superspin chain
    • cond-mat/0501197
    • Essler F.H.L., Frahm H., and Saleur H. Continuum limit of the integrable s l (2 / 1)3 - over(3, ̄) superspin chain. Nucl. Phys. B 712 (2005) 513-572. cond-mat/0501197
    • (2005) Nucl. Phys. B , vol.712 , pp. 513-572
    • Essler, F.H.L.1    Frahm, H.2    Saleur, H.3
  • 4
    • 84901066148 scopus 로고    scopus 로고
    • Pre-logarithmic and logarithmic fields in a sandpile model
    • hep-th/0407143
    • Piroux G., and Ruelle P. Pre-logarithmic and logarithmic fields in a sandpile model. J. Stat. Mech. 0401 (2004) P005. hep-th/0407143
    • (2004) J. Stat. Mech. , vol.401
    • Piroux, G.1    Ruelle, P.2
  • 5
    • 41349090970 scopus 로고    scopus 로고
    • Conformal field theory correlations in the Abelian sandpile model
    • cond-mat/0407115
    • Jeng M. Conformal field theory correlations in the Abelian sandpile model. Phys. Rev. E 71 (2005) 016140. cond-mat/0407115
    • (2005) Phys. Rev. E , vol.71 , pp. 016140
    • Jeng, M.1
  • 6
    • 0000898051 scopus 로고
    • Critical percolation in finite geometries
    • hep-th/9111026
    • Cardy J. Critical percolation in finite geometries. J. Phys. A 25 (1992) L201-L206. hep-th/9111026
    • (1992) J. Phys. A , vol.25
    • Cardy, J.1
  • 7
    • 0001637122 scopus 로고    scopus 로고
    • A crossing probability for critical percolation in two dimensions
    • cond-mat/9603167
    • Watts G.A.M. A crossing probability for critical percolation in two dimensions. J. Phys. A 29 (1996) L363. cond-mat/9603167
    • (1996) J. Phys. A , vol.29
    • Watts, G.A.M.1
  • 8
    • 0001193785 scopus 로고
    • Exact determination of the percolation hull exponent in two dimensions
    • Saleur H., and Duplantier B. Exact determination of the percolation hull exponent in two dimensions. Phys. Rev. Lett. 58 (1987) 2325-2328
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2325-2328
    • Saleur, H.1    Duplantier, B.2
  • 13
    • 0001400413 scopus 로고
    • Extended conformal algebras generated by a multiplet of primary fields
    • Kausch H.G. Extended conformal algebras generated by a multiplet of primary fields. Phys. Lett. B 259 (1991) 448
    • (1991) Phys. Lett. B , vol.259 , pp. 448
    • Kausch, H.G.1
  • 14
    • 0042515527 scopus 로고    scopus 로고
    • A rational logarithmic conformal field theory
    • hep-th/9606050
    • Gaberdiel M.R., and Kausch H.G. A rational logarithmic conformal field theory. Phys. Lett. B 386 (1996) 131-137. hep-th/9606050
    • (1996) Phys. Lett. B , vol.386 , pp. 131-137
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 15
    • 0033579774 scopus 로고    scopus 로고
    • A local logarithmic conformal field theory
    • hep-th/9807091
    • Gaberdiel M.R., and Kausch H.G. A local logarithmic conformal field theory. Nucl. Phys. B 538 (1999) 631-658. hep-th/9807091
    • (1999) Nucl. Phys. B , vol.538 , pp. 631-658
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 16
    • 0000845270 scopus 로고    scopus 로고
    • Symplectic fermions
    • hep-th/0003029
    • Kausch H.G. Symplectic fermions. Nucl. Phys. B 583 (2000) 513-541. hep-th/0003029
    • (2000) Nucl. Phys. B , vol.583 , pp. 513-541
    • Kausch, H.G.1
  • 17
    • 0036606672 scopus 로고    scopus 로고
    • Logarithmic conformal field theories via logarithmic deformations
    • hep-th/0201091
    • Fjelstad J., Fuchs J., Hwang S., Semikhatov A.M., and Tipunin I.Yu. Logarithmic conformal field theories via logarithmic deformations. Nucl. Phys. B 633 (2002) 379-413. hep-th/0201091
    • (2002) Nucl. Phys. B , vol.633 , pp. 379-413
    • Fjelstad, J.1    Fuchs, J.2    Hwang, S.3    Semikhatov, A.M.4    Tipunin, I.Yu.5
  • 19
    • 0242332349 scopus 로고    scopus 로고
    • Bits and pieces in logarithmic conformal field theory
    • hep-th/0111228
    • Flohr M. Bits and pieces in logarithmic conformal field theory. Int. J. Mod. Phys. A 18 (2003) 4497-4592. hep-th/0111228
    • (2003) Int. J. Mod. Phys. A , vol.18 , pp. 4497-4592
    • Flohr, M.1
  • 20
    • 0030573958 scopus 로고    scopus 로고
    • Indecomposable fusion products
    • hep-th/9604026
    • Gaberdiel M.R., and Kausch H.G. Indecomposable fusion products. Nucl. Phys. B 477 (1996) 293-318. hep-th/9604026
    • (1996) Nucl. Phys. B , vol.477 , pp. 293-318
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 21
    • 2942748339 scopus 로고    scopus 로고
    • Nonsemisimple fusion algebras and the Verlinde formula
    • hep-th/0306274
    • Fuchs J., Hwang S., Semikhatov A.M., and Tipunin I.Yu. Nonsemisimple fusion algebras and the Verlinde formula. Commun. Math. Phys. 247 (2004) 713-742. hep-th/0306274
    • (2004) Commun. Math. Phys. , vol.247 , pp. 713-742
    • Fuchs, J.1    Hwang, S.2    Semikhatov, A.M.3    Tipunin, I.Yu.4
  • 22
    • 33646746046 scopus 로고    scopus 로고
    • Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
    • hep-th/0504093
    • Feigin B.L., Gainutdinov A.M., Semikhatov A.M., and Tipunin I.Yu. Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center. Commun. Math. Phys. 265 (2006) 47-93. hep-th/0504093
    • (2006) Commun. Math. Phys. , vol.265 , pp. 47-93
    • Feigin, B.L.1    Gainutdinov, A.M.2    Semikhatov, A.M.3    Tipunin, I.Yu.4
  • 23
    • 30644470278 scopus 로고    scopus 로고
    • 2-cofiniteness for a family of W-algebras
    • math-ph/0508015
    • 2-cofiniteness for a family of W-algebras. J. Phys. A 39 (2006) 951-966. math-ph/0508015
    • (2006) J. Phys. A , vol.39 , pp. 951-966
    • Carqueville, N.1    Flohr, M.2
  • 25
    • 0000371265 scopus 로고
    • BRST approach to minimal models
    • Felder G. BRST approach to minimal models. Nucl. Phys. B 317 (1989) 215-236
    • (1989) Nucl. Phys. B , vol.317 , pp. 215-236
    • Felder, G.1
  • 26
    • 2942736912 scopus 로고    scopus 로고
    • Non-semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
    • Springer-Verlag
    • Kerler T., and Lyubashenko V.V. Non-semisimple Topological Quantum Field Theories for 3-Manifolds with Corners. Springer Lecture Notes in Mathematics vol. 1765 (2001), Springer-Verlag
    • (2001) Springer Lecture Notes in Mathematics , vol.1765
    • Kerler, T.1    Lyubashenko, V.V.2
  • 29
    • 0041851129 scopus 로고    scopus 로고
    • Conformal algebras of 2d disordered systems
    • cond-mat/9911392
    • Gurarie V., and Ludwig A.W.W. Conformal algebras of 2d disordered systems. J. Phys. A: Math. Gen. 35 (2002) L377-L384. cond-mat/9911392
    • (2002) J. Phys. A: Math. Gen. , vol.35
    • Gurarie, V.1    Ludwig, A.W.W.2
  • 30
    • 0242269066 scopus 로고    scopus 로고
    • Stress energy tensor in LCFT and the logarithmic Sugawara construction
    • hep-th/0112008
    • Kogan I.I., and Nichols A. Stress energy tensor in LCFT and the logarithmic Sugawara construction. Int. J. Mod. Phys. A 18 (2003) 4771-4788. hep-th/0112008
    • (2003) Int. J. Mod. Phys. A , vol.18 , pp. 4771-4788
    • Kogan, I.I.1    Nichols, A.2
  • 32
    • 33947275631 scopus 로고    scopus 로고
    • Notes on non-trivial and logarithmic CFTs with c = 0
    • hep-th/0510096
    • Flohr M., and Müller-Lohmann A. Notes on non-trivial and logarithmic CFTs with c = 0. J. Stat. Mech. 0604 (2006) P002. hep-th/0510096
    • (2006) J. Stat. Mech. , vol.604
    • Flohr, M.1    Müller-Lohmann, A.2
  • 33
    • 0032370051 scopus 로고    scopus 로고
    • Twisted representations of vertex operator algebras
    • Dong C., Li H., and Mason G. Twisted representations of vertex operator algebras. Math. Ann. 310 (1998) 571-600
    • (1998) Math. Ann. , vol.310 , pp. 571-600
    • Dong, C.1    Li, H.2    Mason, G.3
  • 35
    • 29444434031 scopus 로고
    • Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
    • Nienhuis B. Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas. J. Stat. Phys. 34 (1984) 731-761
    • (1984) J. Stat. Phys. , vol.34 , pp. 731-761
    • Nienhuis, B.1
  • 36
    • 0000004532 scopus 로고
    • Conformal algebra and multipoint correlation functions in 2D statistical models
    • Dotsenko Vl.S., and Fateev V.A. Conformal algebra and multipoint correlation functions in 2D statistical models. Nucl. Phys. B 240 (1984) 312-348
    • (1984) Nucl. Phys. B , vol.240 , pp. 312-348
    • Dotsenko, Vl.S.1    Fateev, V.A.2
  • 37
    • 0000875336 scopus 로고
    • 'Irreversibility' of the flux of the renormalization group in a 2D field theory
    • Zamolodchikov A.B. 'Irreversibility' of the flux of the renormalization group in a 2D field theory. JETP Lett. 43 (1986) 730-732
    • (1986) JETP Lett. , vol.43 , pp. 730-732
    • Zamolodchikov, A.B.1
  • 40
    • 34250139532 scopus 로고
    • Verma modules over the Virasoro algebra
    • Feigin B.L., and Fuks D.B. Verma modules over the Virasoro algebra. Funct. Anal. Appl. 17 (1983) 241
    • (1983) Funct. Anal. Appl. , vol.17 , pp. 241
    • Feigin, B.L.1    Fuks, D.B.2
  • 41
    • 0003773883 scopus 로고    scopus 로고
    • Vertex Operator Algebras for Beginners
    • American Mathematical Society, Boston
    • Kac V. Vertex Operator Algebras for Beginners. University Lecture Series vol. 10 (1998), American Mathematical Society, Boston
    • (1998) University Lecture Series , vol.10
    • Kac, V.1
  • 44
    • 0010027714 scopus 로고
    • Fock space resolutions of the Virasoro highest weight modules with c ≤ 1
    • hep-th/9108023
    • Bouwknegt P., McCarthy J., and Pilch K. Fock space resolutions of the Virasoro highest weight modules with c ≤ 1. Lett. Math. Phys. 23 (1991) 193-204. hep-th/9108023
    • (1991) Lett. Math. Phys. , vol.23 , pp. 193-204
    • Bouwknegt, P.1    McCarthy, J.2    Pilch, K.3
  • 45
    • 0003704279 scopus 로고
    • Springer-Verlag, New York
    • Kassel C. Quantum Groups (1995), Springer-Verlag, New York
    • (1995) Quantum Groups
    • Kassel, C.1
  • 47
    • 33750692123 scopus 로고    scopus 로고
    • B.L. Feigin, I.Yu. Tipunin, unpublished
  • 48
    • 0000812566 scopus 로고
    • Vacuum vector representations of the Virasoro algebra
    • Vertex Operators in Mathematics and Physics, Springer, Heidelberg
    • Rocha-Caridi A. Vacuum vector representations of the Virasoro algebra. Vertex Operators in Mathematics and Physics. MSRI Publications vol. 3 (1984), Springer, Heidelberg 451-473
    • (1984) MSRI Publications , vol.3 , pp. 451-473
    • Rocha-Caridi, A.1


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