Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus
Oct, 2006Citations per year
Abstract:
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 co-semisimple 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).- quantum groupoids
- weak Hopf algebras
- quantum symmetries
- fusion algebra
- Coxeter-Dynkin diagrams
- ADE
- modular invariance
- conformal field theories
- categories
- field theory: conformal
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