Permutation Modular Invariants from Modular Functors

Details Permutation Modular Invariants from Modular Functors Permutation Modular Invariants from Modular Functors

2010-06-20

arxiv.org/abs/1006.3938v1

Mathematics

Quantum Algebra

30 pages, several figures

Scientific paper

For any finite group G with a finite G-set X and a modular tensor category C we construct a part of the algebraic structure of an associated G-equivariant monoidal category: For any group element g in G we exhibit the module category structure of the g-component over the trivial component. This uses the formalism of permutation equivariant modular functors that was worked out in arXiv:1004.1825. As an application we show that the corresponding modular invariant partition function is given by permutation by g.

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