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arxiv: math-ph/0610073 · v2 · submitted 2006-10-26 · 🧮 math-ph · hep-th· math.MP· math.QA

Orders and dimensions for sl(2) or sl(3) module categories and Boundary Conformal Field Theories on a torus

classification 🧮 math-ph hep-thmath.MPmath.QA
keywords tablesdimensionstheoriesboundarycategoriesconformaldescribingfield
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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).

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