Exceptional quantum subgroups for the rank two Lie algebras B2 and G2
Quantum Algebra
2011-03-28 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Exceptional modular invariants for the Lie algebras B2 (at levels 2,3,7,12) and G2 (at levels 3,4) can be obtained from conformal embeddings. We determine the associated alge bras of quantum symmetries and discover or recover, as a by-product, the graphs describing exceptional quantum subgroups of type B2 or G2 which encode their module structure over the associated fusion category. Global dimensions are given.
Keywords
Cite
@article{arxiv.1001.5416,
title = {Exceptional quantum subgroups for the rank two Lie algebras B2 and G2},
author = {R. Coquereaux and R. Rais and E. H. Tahri},
journal= {arXiv preprint arXiv:1001.5416},
year = {2011}
}
Comments
33 pages, 27 color figures