Orders and dimensions for s l ( 2 ) or s l ( 3 ) module categories and boundary conformal field theorieson a torus

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

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Veröffentlicht in:Journal of mathematical physics 2007-04, Vol.48 (4), p.043511-043511-17
Hauptverfasser: Coquereaux, R., Schieber, G.
Format: Artikel
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Zusammenfassung:After giving a short description, in terms of action of categories, of some of the structures associated with s l ( 2 ) and s l ( 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 s l ( 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