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

Coquereaux, Robert; Huerta, M.

doi:10.1016/S0393-0440(03)00056-1

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

Robert Coquereaux
(
- Marseille, CPT
)
,
M. Huerta
(
- Marseille, CPT and
- ICTP, Trieste
)

Jan, 2003

51 pages

Published in:

J.Geom.Phys. 48 (2003) 580-634

e-Print:

hep-th/0301215 [hep-th]

DOI:

10.1016/S0393-0440(03)00056-1

Report number:

CPT-2003-P-4253

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Abstract:

Using the Ocneanu quantum geometry of ADE diagrams (and of other diagrams belonging to higher Coxeter-Dynkin systems), we discuss the classification of twisted partition functions for affine and minimal models in conformal field theory and study several examples associated with the WZW, Virasoro and W_{3} cases.

Note:

50 pages, 8 figures,added references, corrected typos Subj-class: High Energy Physics - Theory: Quantum Algebra Journal-ref: Journal of Geometry and Physics, Volume 48, Issue 4, December 2003, Pages 580-634 DOI: 10.1016/S0393-0440(03)00056-1

field theory: affine
algebra: Kac-Moody
partition function
operator: algebra
algebra: fusion
algebra: representation
transformation: modular
field theory: conformal
model: minimal
graph theory

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