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Volumn 41, Issue 29, 2008, Pages

W-extended fusion algebra of critical percolation

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EID: 52349110645     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/29/295208     Document Type: Article
Times cited : (25)

References (52)
  • 5
    • 0000520864 scopus 로고
    • Conformal invariance for polymers and percolation
    • Saleur H 1987 Conformal invariance for polymers and percolation J. Phys. A: Math. Gen. 20 455-70
    • (1987) J. Phys. A: Math. Gen. , vol.20 , Issue.2 , pp. 455-470
    • Saleur, H.1
  • 6
    • 0001193785 scopus 로고
    • Exact determination of the hull exponent in two dimensions
    • Saleur H and Duplantier B 1987 Exact determination of the hull exponent in two dimensions Phys. Rev. Lett. 58 2325-8
    • (1987) Phys. Rev. Lett. , vol.58 , Issue.22 , pp. 2325-2328
    • Saleur, H.1    Duplantier, B.2
  • 7
    • 0000752444 scopus 로고
    • Polymers and percolation in two dimensions and twisted N = 2 supersymmetry
    • Saleur H 1992 Polymers and percolation in two dimensions and twisted N = 2 supersymmetry Nucl. Phys. B 382 486-531 (Preprint hep-th/9111007)
    • (1992) Nucl. Phys. , vol.382 , Issue.3 , pp. 486-531
    • Saleur, H.1
  • 9
    • 0001909227 scopus 로고
    • Cardy J 1987 Conformal Invariance (Phase Transitions and Critical Phenomena vol 11) ed C Domb and J L Lebowitz (New York: Academic)
    • (1987) Conformal Invariance
    • Cardy, J.1
  • 10
    • 0003002413 scopus 로고
    • Conformal invariance in two-dimensional percolation
    • Langlands R, Pouliot P and Saint-Aubin Y 1994 Conformal invariance in two-dimensional percolation Bull. Am. Math. Soc. 30 1-61 (Preprint math/9401222)
    • (1994) Bull. Am. Math. Soc. , vol.30 , Issue.1 , pp. 1-61
    • Langlands, R.1    Pouliot, P.2    Saint-Aubin, Y.3
  • 12
    • 0041869040 scopus 로고    scopus 로고
    • Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits
    • Smirnov S 2001 Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits C. R. Acad. Sci. Paris 333 239-44
    • (2001) C. R. Acad. Sci. Paris , vol.333 , pp. 239-244
    • Smirnov, S.1
  • 13
    • 0000898051 scopus 로고
    • Critical percolation in finite geometries
    • Cardy J L 1992 Critical percolation in finite geometries J. Phys. A: Math. Gen. 25 L201-6 (Preprint hep-th/9111026)
    • (1992) J. Phys. A: Math. Gen. , vol.25 , Issue.4
    • Cardy, J.L.1
  • 14
    • 0000070791 scopus 로고
    • Logarithmic operators in conformal field theory
    • Gurarie V 1993 Logarithmic operators in conformal field theory Nucl. Phys. B 410 535-49 (Preprint hep-th/9303160)
    • (1993) Nucl. Phys. , vol.410 , Issue.3 , pp. 535-549
    • Gurarie, V.1
  • 16
    • 0041851129 scopus 로고    scopus 로고
    • Conformal algebras of 2D disordered systems
    • Gurarie V and Ludwig A W W 2002 Conformal algebras of 2D disordered systems J. Phys. A: Math. Gen. 35 L377-84 (Preprint cond-mat/9911392)
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.27
    • Gurarie, V.1    Ludwig, A.W.W.2
  • 17
    • 0036606672 scopus 로고    scopus 로고
    • Logarithmic conformal field theories via logarithmic deformations
    • Fjelstad J, Fuchs J, Hwang S, Semikhatov A M and Tipunin I Yu 2002 Logarithmic conformal field theories via logarithmic deformations Nucl. Phys. B 633 379-413 (Preprint hep-th/0201091)
    • (2002) Nucl. Phys. , vol.633 , Issue.3 , pp. 379-413
    • Fjelstad, J.1    Fuchs, J.2    Hwang, S.3    Semikhatov, A.M.4    Yu, T.I.5
  • 22
    • 0000302894 scopus 로고
    • New exact exponents for the two-dimensional self-avoiding walks
    • Saleur H 1986 New exact exponents for the two-dimensional self-avoiding walks J. Phys. A: Math. Gen. 19 L807-10
    • (1986) J. Phys. A: Math. Gen. , vol.19 , Issue.13
    • Saleur, H.1
  • 23
    • 18344368736 scopus 로고
    • Magnetic properties of the two-dimensional n = 0 vector model
    • Saleur H 1987 Magnetic properties of the two-dimensional n = 0 vector model Phys. Rev. B 35 3657-60
    • (1987) Phys. Rev. , vol.35 , Issue.7 , pp. 3657-3660
    • Saleur, H.1
  • 24
    • 4243907552 scopus 로고
    • Exact critical exponents for two-dimensional dense polymers
    • Duplantier B 1986 Exact critical exponents for two-dimensional dense polymers J. Phys. A: Math. Gen. 19 L1009-14
    • (1986) J. Phys. A: Math. Gen. , vol.19 , Issue.16
    • Duplantier, B.1
  • 25
    • 42749100473 scopus 로고    scopus 로고
    • Solvable critical dense polymers
    • Pearce P A and Rasmussen J 2007 Solvable critical dense polymers J. Stat. Mech. P02015 (Preprint hep-th/0610273)
    • (2007) J. Stat. Mech. , vol.2007 , Issue.2 , pp. 02015
    • Pearce, P.A.1    Rasmussen, J.2
  • 27
    • 0000845270 scopus 로고    scopus 로고
    • Symplectic fermions
    • Kausch H G 2000 Symplectic fermions Nucl. Phys. B 583 513-41 (Preprint hep-th/0003029)
    • (2000) Nucl. Phys. , vol.583 , Issue.3 , pp. 513-541
    • Kausch, H.G.1
  • 28
    • 0242332349 scopus 로고    scopus 로고
    • Bits and pieces in logarithmic conformal field theory
    • Flohr M 2003 Bits and pieces in logarithmic conformal field theory Int. J. Mod. Phys. A 18 4497-592 (Preprint hep-th/0111228)
    • (2003) Int. J. Mod. Phys. , vol.18 , Issue.25 , pp. 4497-4592
    • Flohr, M.1
  • 29
    • 0242300775 scopus 로고    scopus 로고
    • An algebraic approach to logarithmic conformal field theory
    • Gaberdiel M R 2003 An algebraic approach to logarithmic conformal field theory Int. J. Mod. Phys. A 18 4593-638 (Preprint hep-th/0111260)
    • (2003) Int. J. Mod. Phys. , vol.18 , Issue.25 , pp. 4593-4638
    • Gaberdiel, M.R.1
  • 30
    • 0242363792 scopus 로고    scopus 로고
    • Logarithmic conformal field theory with boundary
    • Kawai S 2003 Logarithmic conformal field theory with boundary Int. J. Mod. Phys. A 18 4655-84 (Preprint hep-th/0204169)
    • (2003) Int. J. Mod. Phys. , vol.18 , Issue.25 , pp. 4655-4684
    • Kawai, S.1
  • 32
    • 0030573958 scopus 로고    scopus 로고
    • Indecomposable fusion products
    • Gaberdiel M R and Kausch H G 1996 Indecomposable fusion products Nucl. Phys. B 477 293-318 (Preprint hep-th/9604026)
    • (1996) Nucl. Phys. , vol.477 , Issue.1 , pp. 293-318
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 33
    • 33846631309 scopus 로고    scopus 로고
    • Virasoro representations and fusion for general augmented minimal models
    • Eberle H and Flohr M 2006 Virasoro representations and fusion for general augmented minimal models J. Phys. A: Math. Gen. 39 15245-86 (Preprint hep-th/0604097)
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.49 , pp. 15245-15286
    • Eberle, H.1    Flohr, M.2
  • 34
    • 34447098325 scopus 로고    scopus 로고
    • Associative-algebraic approach to logarithmic conformal field theories
    • Read N and Saleur H 2007 Associative-algebraic approach to logarithmic conformal field theories Nucl. Phys. B 777 316-51 (Preprint hep-th/0701117)
    • (2007) Nucl. Phys. , vol.777 , Issue.3 , pp. 316-351
    • Read, N.1    Saleur, H.2
  • 35
    • 36148993521 scopus 로고    scopus 로고
    • Fusion algebra of critical percolation
    • Rasmussen J and Pearce P A 2007 Fusion algebra of critical percolation J. Stat. Mech. P 09002 (Preprint 0706.2716)
    • (2007) J. Stat. Mech. , pp. 09002
    • Rasmussen, J.1    Pearce, P.A.2
  • 36
    • 35549001871 scopus 로고    scopus 로고
    • Fusion algebras of logarithmic minimal models
    • Rasmussen J and Pearce P A 2007 Fusion algebras of logarithmic minimal models J. Phys. A: Math. Theor. 40 13711-33 (Preprint 0707.3189)
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.45 , pp. 13711-13733
    • Rasmussen, J.1    Pearce, P.A.2
  • 37
    • 1542636691 scopus 로고    scopus 로고
    • On modular invariant partition functions of conformal field theories with logarithmic operators
    • Flohr M 1996 On modular invariant partition functions of conformal field theories with logarithmic operators Int. J. Mod. Phys. A 11 4147-72 (Preprint hep-th/9509166)
    • (1996) Int. J. Mod. Phys. , vol.11 , Issue.22 , pp. 4147-4172
    • Flohr, M.1
  • 38
    • 0042515527 scopus 로고    scopus 로고
    • A rational logarithmic conformal field theory
    • Gaberdiel M R and Kausch H G 1996 A rational logarithmic conformal field theory Phys. Lett. B 386 131-7 (Preprint hep-th/9606050)
    • (1996) Phys. Lett. , vol.386 , Issue.1-4 , pp. 131-137
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 39
    • 32344434265 scopus 로고    scopus 로고
    • Logarithmic torus amplitudes
    • Flohr M and Gaberdiel M R 2006 Logarithmic torus amplitudes J. Phys. A: Math. Gen. 39 1955-68 (Preprint hep-th/0509075)
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.8 , pp. 1955-1968
    • Flohr, M.1    Gaberdiel, M.R.2
  • 40
    • 33947281549 scopus 로고    scopus 로고
    • The logarithmic triplet theory with boundary
    • Gaberdiel M R and Runkel I 2006 The logarithmic triplet theory with boundary J. Phys. A: Math. Gen. 39 14745-80 (Preprint hep-th/0608184)
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.47 , pp. 14745-14780
    • Gaberdiel, M.R.1    Runkel, I.2
  • 41
    • 2942748339 scopus 로고    scopus 로고
    • Nonsemisimple fusion algebras and the Verlinde formula
    • Fuchs J, Hwang S, Semikhatov A M and Tipunin I Yu 2004 Nonsemisimple fusion algebras and the Verlinde formula Commun. Math. Phys. 247 713-42 (Preprint hep-th/0306274)
    • (2004) Commun. Math. Phys. , vol.247 , Issue.3 , pp. 713-742
    • Fuchs, J.1    Hwang, S.2    Semikhatov, A.M.3    Yu, T.I.4
  • 42
    • 33646746046 scopus 로고    scopus 로고
    • Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
    • Feigin B, Gainutdinov A M, Semikhatov A M and Tipunin I Yu 2006 Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center Commun. Math. Phys. 265 47-93 (Preprint hep-th/0504093)
    • (2006) Commun. Math. Phys. , vol.265 , Issue.1 , pp. 47-93
    • Feigin, B.1    Gainutdinov, A.M.2    Semikhatov, A.M.3    Yu, T.I.4
  • 45
    • 52349111947 scopus 로고    scopus 로고
    • Integrable boundary conditions and -extended fusion in the logarithmic minimal models
    • Pearce P A, Rasmussen J and Ruelle P 2008 Integrable boundary conditions and -extended fusion in the logarithmic minimal models J. Phys. A: Math. Theor. (Preprint 0803.0785) at press
    • (2008) J. Phys. A: Math. Theor.
    • Pearce, P.A.1    Rasmussen, J.2    Ruelle, P.3
  • 46
    • 34047164902 scopus 로고    scopus 로고
    • Kazhdan-Lusztig dual quantum group for logarithmic extensions of Virasoro minimal models
    • Feigin B L, Gainutdinov A M, Semikhatov A M and Tipunin I Yu 2007 Kazhdan-Lusztig dual quantum group for logarithmic extensions of Virasoro minimal models J. Math. Phys. 48 032303 (Preprint math.QA/0606506)
    • (2007) J. Math. Phys. , vol.48 , Issue.3 , pp. 032303
    • Feigin, B.L.1    Gainutdinov, A.M.2    Semikhatov, A.M.3    Yu, T.I.4
  • 47
    • 33750704011 scopus 로고    scopus 로고
    • Logarithmic extensions of minimal models: Characters and modular transformations
    • Feigin B L, Gainutdinov A M, Semikhatov A M and Tipunin I Yu 2006 Logarithmic extensions of minimal models: characters and modular transformations Nucl. Phys. B 757 303-43 (Preprint hep-th/0606196)
    • (2006) Nucl. Phys. , vol.757 , Issue.3 , pp. 303-343
    • Feigin, B.L.1    Gainutdinov, A.M.2    Semikhatov, A.M.3    Yu, T.I.4
  • 49
    • 33646970557 scopus 로고
    • Modular invariance in nonminimal two-dimensional conformal theories
    • Di Francesco P, Saleur H and Zuber J-B 1987 Modular invariance in nonminimal two-dimensional conformal theories Nucl. Phys. B 285 454-80
    • (1987) Nucl. Phys. , vol.285 , pp. 454-480
    • Di Francesco, P.1    Saleur, H.2    Zuber, J.-B.3
  • 50
    • 0035255932 scopus 로고    scopus 로고
    • Integrable and conformal boundary conditions for lattice A-D-E and unitary minimal sℓ(2) models
    • Behrend R E and Pearce P A 2001 Integrable and conformal boundary conditions for lattice A-D-E and unitary minimal sℓ(2) models J. Stat. Phys. 102 577-640 (Preprint hep-th/0006094)
    • (2001) J. Stat. Phys. , vol.102 , pp. 577-640
    • Behrend, R.E.1    Pearce, P.A.2
  • 51
    • 0000384123 scopus 로고    scopus 로고
    • Boundary conditions in rational conformal field theories
    • Behrend R E, Pearce P A, Petkova V B and Zuber J-B 2000 Boundary conditions in rational conformal field theories Nucl. Phys. B 579 707-73 (Preprint hep-th/9908036)
    • (2000) Nucl. Phys. , vol.579 , Issue.3 , pp. 707-773
    • Behrend, R.E.1    Pearce, P.A.2    Petkova, V.B.3    Zuber, J.-B.4
  • 52
    • 0000042317 scopus 로고
    • Quasi-rational fusion products
    • Nahm W 1994 Quasi-rational fusion products Int. J. Mod. Phys. B 8 3693-702 (Preprint hep-th/9402039)
    • (1994) Int. J. Mod. Phys. , vol.8 , pp. 3693-3702
    • Nahm, W.1


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