Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus

After giving a short description, in terms of action of categories, of some of the structures associated with sl(2) and sl(3) boundary conformal field theories on a torus, we provide tables of dimensions describing the semisimple and cosemisimple blocks of the corresponding weak bialgebras (quantum...

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Bibliographic Details
Published in:Journal of mathematical physics 2007-04, Vol.48 (4), p.1
Main Authors: Coquereaux, R., Schieber, G.
Format: Article
Language:English
Subjects:
ALGEBRA
CONFORMAL INVARIANCE
High Energy Physics - Theory
Mathematical Physics
Mathematics
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Algebra
QUANTUM FIELD THEORY
SL GROUPS
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Summary:After giving a short description, in terms of action of categories, of some of the structures associated with sl(2) and sl(3) boundary conformal field theories on a torus, we provide tables of dimensions describing the semisimple and cosemisimple blocks of the corresponding weak bialgebras (quantum groupoids), tables of quantum dimensions and orders, and tables describing induction-restriction. For reasons of size, the sl(3) tables of induction are only given for theories with self-fusion (existence of a monoidal structure).
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2714000