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Article Dans Une Revue Journal of Mathematical Physics Année : 2007

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

Résumé

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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Dates et versions

hal-00110016 , version 1 (26-10-2006)
hal-00110016 , version 2 (26-10-2006)
hal-00110016 , version 3 (01-03-2007)

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Robert Coquereaux, Gil Schieber. Orders and dimensions for sl(2) or sl(3) module categories and Boundary Conformal Field Theories on a torus. Journal of Mathematical Physics, 2007, 48 (4), pp.043511. ⟨hal-00110016v3⟩
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