Exceptional quantum subgroups for the rank two Lie algebras B2 and G2

Details Exceptional quantum subgroups for the rank two Lie algebras B2 and G2 Exceptional quantum subgroups for the rank two Lie algebras B2 and G2

2010-01-29

arxiv.org/abs/1001.5416v1

J.Math.Phys.51:092302,2010

Mathematics

Quantum Algebra

33 pages, 27 color figures

Scientific paper

10.1063/1.3476319

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.

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