Permutation Modular Invariants from Modular Functors
Quantum Algebra
2010-06-22 v1
Abstract
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.
Cite
@article{arxiv.1006.3938,
title = {Permutation Modular Invariants from Modular Functors},
author = {Till Barmeier},
journal= {arXiv preprint arXiv:1006.3938},
year = {2010}
}
Comments
30 pages, several figures