Exceptional quantum subgroups for the rank two Lie algebras B2 and G2
arXiv:1001.5416 · doi:10.1063/1.3476319
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.
33 pages, 27 color figures
References in corpus (5)
- From conformal embeddings to quantum symmetries: an exceptional SU(4) example
- Orders and dimensions for sl(2) or sl(3) module categories and Boundary Conformal Field Theories on a torus
- Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings
- Vertex operator algebras, fusion rules and modular transformations
- From modular invariants to graphs: the modular splitting method