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 |
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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). |
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ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.2714000 |