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Volumn 48, Issue 4, 2003, Pages 580-634

Torus structure on graphs and twisted partition functions for minimal and affine models

Author keywords

ADE; Conformal field theories; Hopf algebras; Modular invariance; Quantum groups; Quantum symmetries

Indexed keywords


EID: 0142231881     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(03)00056-1     Document Type: Article
Times cited : (8)

References (41)
  • 2
    • 0033426341 scopus 로고    scopus 로고
    • Modular invariants, graphs and α induction for nets of subfactors, II
    • Böckenhauer J. Evans D. Modular invariants, graphs and α induction for nets of subfactors, II Commun. Math. Phys. 200 1999 57-103
    • (1999) Commun. Math. Phys. , vol.200 , pp. 57-103
    • Böckenhauer, J.1    Evans, D.2
  • 3
    • 4244056398 scopus 로고    scopus 로고
    • Modular invariants from subfactors
    • R. Coquereaux, A. García, R. Trinchero (Eds.), D. Evans Lectures at Bariloche Summer School, Argentina, January
    • Böckenhauer, J. Evans, D. Modular invariants from subfactors, in: R. Coquereaux, A. García, R. Trinchero (Eds.), D. Evans Lectures at Bariloche Summer School, Argentina, January 2000, AMS Contemporary Mathematics, vol. 294.
    • (2000) AMS Contemporary Mathematics , vol.294
    • Böckenhauer, J.1    Evans, D.2
  • 4
    • 0010795998 scopus 로고
    • W-symmetry in conformal field theory
    • Bouwknegt P. Schoutens K. W-symmetry in conformal field theory Phys. Rep. 223 1993 183-276
    • (1993) Phys. Rep. , vol.223 , pp. 183-276
    • Bouwknegt, P.1    Schoutens, K.2
  • 5
    • 0040208914 scopus 로고    scopus 로고
    • The W3 algebra: Modules, semi-infinite cohomology and BV-algebras
    • Monographs No. 42, Springer, Berlin
    • Bouwknegt, P. McCarthy, J. Pilch, K. The W3 algebra: modules, semi-infinite cohomology and BV-algebras, Lecture Notes in Physics, Monographs No. 42, Springer, Berlin, 1996.
    • (1996) Lecture Notes in Physics
    • Bouwknegt, P.1    McCarthy, J.2    Pilch, K.3
  • 9
    • 0142229180 scopus 로고    scopus 로고
    • Notes on the quantum tetrahedron
    • hep-th/0011006
    • Coquereaux, R. Notes on the quantum tetrahedron, Moscow Math. J. 2 (1) (2002) 1-40. hep-th/0011006.
    • (2002) Moscow Math. J. , vol.2 , Issue.1 , pp. 1-40
    • Coquereaux, R.1
  • 10
    • 85013733943 scopus 로고    scopus 로고
    • Classical and quantum polyhedra: A fusion graph algebra point of view
    • hep-th/0105239 J. Lukierski, J. Rembielinski (Eds.), 37th Karpacz Winter School of Theoretical Physics
    • Coquereaux, R. Classical and quantum polyhedra: a fusion graph algebra point of view, in: J. Lukierski, J. Rembielinski (Eds.), AIP Conference Proceedings, vol. 589, 37th Karpacz Winter School of Theoretical Physics, 2001, pp. 181-203. hep-th/0105239.
    • (2001) AIP Conference Proceedings , vol.589 , pp. 181-203
    • Coquereaux, R.1
  • 11
    • 0142167161 scopus 로고    scopus 로고
    • Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries
    • hep-th/0107001
    • Coquereaux, R. Schieber, G. Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries, J. Geom. Phys. 781 (2002) 1-43. hep-th/0107001.
    • (2002) J. Geom. Phys. , vol.781 , pp. 1-43
    • Coquereaux, R.1    Schieber, G.2
  • 12
    • 85056018504 scopus 로고    scopus 로고
    • Determination of quantum symmetries for higher ADE systems from the modular T matrix
    • in press. hep-th/0203242
    • Coquereaux, R. Schieber, G. Determination of quantum symmetries for higher ADE systems from the modular T matrix, J. Math. Phys., in press. hep-th/0203242.
    • J. Math. Phys.
    • Coquereaux, R.1    Schieber, G.2
  • 13
    • 0142167160 scopus 로고    scopus 로고
    • Ocneanu bi-algebras for ADE diagrams and quantum groupoïds
    • work in progress
    • Coquereaux, R. Garcia, A. Schieber, G. Trinchero, R. Ocneanu bi-algebras for ADE diagrams and quantum groupoïds, work in progress.
    • Coquereaux, R.1    Garcia, A.2    Schieber, G.3    Trinchero, R.4
  • 14
    • 4243366053 scopus 로고    scopus 로고
    • Congruence subgroups and rational conformal field theory
    • math.QA/9909080
    • Coste, A. Gannon, T. Congruence subgroups and rational conformal field theory. math.QA/9909080.
    • Coste, A.1    Gannon, T.2
  • 15
    • 0142167163 scopus 로고
    • S. Randjbar-Daemi, E. Sezgin, J.-B. Zuber (Eds.), Recent Developments in Conformal Field Theory, Trieste Conference, 1989, World Scientific, Singapore
    • Di Francesco, P. Zuber, J.-B. in: S. Randjbar-Daemi, E. Sezgin, J.-B. Zuber (Eds.), Recent Developments in Conformal Field Theory, Trieste Conference, 1989, World Scientific, Singapore, 1990
    • (1990)
    • Di Francesco, P.1    Zuber, J.-B.2
  • 16
    • 13544257686 scopus 로고
    • SU(N) lattice integrable models associated with graphs
    • Di Francesco P. Zuber J.-B. SU(N) lattice integrable models associated with graphs Nucl. Phys. B 338 1990 602
    • (1990) Nucl. Phys. B , vol.338 , pp. 602
    • Di Francesco, P.1    Zuber, J.-B.2
  • 20
    • 0038782292 scopus 로고    scopus 로고
    • TFT construction of RCFT correlators. I. Partition functions
    • hep-th/0204148
    • Fuchs, J. Runkel, I. Schweigert, C. TFT construction of RCFT correlators. I. Partition functions. hep-th/0204148.
    • Fuchs, J.1    Runkel, I.2    Schweigert, C.3
  • 21
    • 21344496621 scopus 로고
    • The classification of affine su(3) modular invariants
    • Gannon T. The classification of affine su(3) modular invariants Commun. Math. Phys. 161 1994 233-263
    • (1994) Commun. Math. Phys. , vol.161 , pp. 233-263
    • Gannon, T.1
  • 22
    • 0039066906 scopus 로고
    • Uber endliche Gruppen, welche in der Theorie der elliptschen Transzendenten auftreten
    • Hurwitz A. Uber endliche Gruppen, welche in der Theorie der elliptschen Transzendenten auftreten Math. Annalen 27 1886 183-233
    • (1886) Math. Annalen , vol.27 , pp. 183-233
    • Hurwitz, A.1
  • 25
    • 0004341080 scopus 로고    scopus 로고
    • On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories
    • math.QA/0101219
    • Kirillov A. Jr., Ostrik, V. On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories. math.QA/0101219.
    • Kirillov Jr., A.1    Ostrik, V.2
  • 26
    • 0001280810 scopus 로고
    • Graphs, singularities and finite groups
    • McKay J. Graphs, singularities and finite groups Proc. Symp. Pure Math. 37 1980-183
    • (1980) Proc. Symp. Pure Math. , vol.37 , pp. 183
    • McKay, J.1
  • 28
    • 0003708298 scopus 로고    scopus 로고
    • Paths on Coxeter diagrams: From Platonic solids and singularities to minimal models and subfactors
    • Talks Given at the Centre de Physique Théorique, Luminy, Marseille
    • Ocneanu, A. Paths on Coxeter diagrams: from Platonic solids and singularities to minimal models and subfactors, Talks Given at the Centre de Physique Théorique, Luminy, Marseille, 1995.
    • (1995)
    • Ocneanu, A.1
  • 29
    • 0003708298 scopus 로고    scopus 로고
    • Paths on Coxeter diagrams: From Platonic solids and singularities to minimal models and subfactors
    • Rajarama Bhat, et al. (Eds.), Notes Taken by S. Goto, Fields Institute Monographs, American Mathematical Society, Providence, RI
    • Ocneanu, A. Paths on Coxeter diagrams: from Platonic solids and singularities to minimal models and subfactors, in: Rajarama Bhat, et al. (Eds.), Notes Taken by S. Goto, Fields Institute Monographs, American Mathematical Society, Providence, RI, 1999.
    • (1999)
    • Ocneanu, A.1
  • 30
    • 0037538026 scopus 로고    scopus 로고
    • Quantum symmetries for SU(3) CFT-models, The classification of subgroups of quantum SU(N)
    • R. Coquereaux, A. García, R. Trinchero (Eds.), A. Ocneanu Lectures at Bariloche Summer School, Argentina, January
    • Ocneanu, A. Quantum symmetries for SU(3) CFT-models, The classification of subgroups of quantum SU(N), in: R. Coquereaux, A. García, R. Trinchero (Eds.), A. Ocneanu Lectures at Bariloche Summer School, Argentina, January 2000, AMS Contemporary Mathematics, vol. 294.
    • (2000) AMS Contemporary Mathematics , vol.294
    • Ocneanu, A.1
  • 31
    • 0038104107 scopus 로고    scopus 로고
    • Higher Coxeter systems
    • Talk Given at MSRI
    • Ocneanu, A. Higher Coxeter systems, Talk Given at MSRI. http://www.msri.org/publications/ln/msri/2000/subfactors/ocneanu.
    • Ocneanu, A.1
  • 32
    • 45949130326 scopus 로고
    • Two-dimensional critical systems labelled by Dynkin diagrams
    • Pasquier V. Two-dimensional critical systems labelled by Dynkin diagrams Nucl. Phys. B 285 1987 162
    • (1987) Nucl. Phys. B , vol.285 , pp. 162
    • Pasquier, V.1
  • 33
    • 0000215899 scopus 로고
    • Intertwiners and A-D-E lattice models
    • Pearce P.A. Zhou Y.K. Intertwiners and A-D-E lattice models IJM Phys. B 720-21 1993 3469
    • (1993) IJM Phys. B , vol.7 , Issue.20-21 , pp. 3469
    • Pearce, P.A.1    Zhou, Y.K.2
  • 34
    • 0035807397 scopus 로고    scopus 로고
    • Integrable lattice realizations of conformal twisted boundary conditions
    • Chui C.H.O. Mercat C. Orrick W.P. Pearce P. Integrable lattice realizations of conformal twisted boundary conditions Phys. Lett. B 517 2001 429-435
    • (2001) Phys. Lett. B , vol.517 , pp. 429-435
    • Chui, C.H.O.1    Mercat, C.2    Orrick, W.P.3    Pearce, P.4
  • 35
    • 0142260177 scopus 로고    scopus 로고
    • Integrable and conformal twisted boundary conditions for sl(2) A-D-E lattice models
    • hep-th/0210301
    • Chui, C.H.O. Mercat, C. Pearce, P. Integrable and conformal twisted boundary conditions for sl(2) A-D-E lattice models. hep-th/0210301.
    • Chui, C.H.O.1    Mercat, C.2    Pearce, P.3
  • 37
    • 0004334070 scopus 로고    scopus 로고
    • Conformal boundary conditions and what they teach us
    • hep-th 0103007
    • Petkova, V.B. Zuber, J.-B. Conformal boundary conditions and what they teach us. hep-th 0103007
    • Petkova, V.B.1    Zuber, J.-B.2
  • 38
    • 4243266204 scopus 로고    scopus 로고
    • Generalized twisted partition functions
    • hep-th/0011021
    • Petkova, V.B. Zuber, J.-B. Generalized twisted partition functions. hep-th/0011021.
    • Petkova, V.B.1    Zuber, J.-B.2
  • 39
    • 0035844785 scopus 로고    scopus 로고
    • The many faces of Ocneanu cells
    • hep-th/0101151
    • Petkova, V.B. Zuber, J.-B. The many faces of Ocneanu cells, Nucl. Phys. B 603 (2001) 449. hep-th/0101151.
    • (2001) Nucl. Phys. B , vol.603 , pp. 449
    • Petkova, V.B.1    Zuber, J.-B.2
  • 40
    • 0142198109 scopus 로고    scopus 로고
    • Generalized Dynkin diagrams and root systems and their foldings
    • hep-th/9707046 Proceedings of the YITP International Workshop on Recent Developments in QCD and Hadron Physics, Kyoto, Japan, December 16-18
    • Zuber, J.-B. Generalized Dynkin diagrams and root systems and their folding, in: Proceedings of the YITP International Workshop on Recent Developments in QCD and Hadron Physics, Kyoto, Japan, December 16-18, 1996. hep-th/9707046.
    • (1996)
    • Zuber, J.-B.1
  • 41
    • 0142229177 scopus 로고    scopus 로고
    • hep-th/0006151 R. Coquereaux, A. García, R. Trinchero (Eds.), Lectures at Bariloche Summer School, Argentina, January
    • Zuber, J.-B. in: R. Coquereaux, A. García, R. Trinchero (Eds.), Lectures at Bariloche Summer School, Argentina, January 2000, AMS Contemporary Mathematics, vol. 294. hep-th/0006151.
    • (2000) AMS Contemporary Mathematics , vol.294
    • Zuber, J.-B.1


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