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 (9)
- The many faces of Ocneanu cells
- The Classification of Affine SU(3) Modular Invariant Partition Functions
- Comments about quantum symmetries of SU(3) graphs
- From conformal embeddings to quantum symmetries: an exceptional SU(4) example
- Higher Coxeter graphs associated to affine su(3) modular invariants
- 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
- From modular invariants to graphs: the modular splitting method
- Vertex operator algebras, fusion rules and modular transformations