%0 Journal Article
%T Permutation Modular Invariants from Modular Functors
%A Till Barmeier
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1006.3938v1