Integral Metaplectic Modular Categories
Quantum Algebra
2019-01-15 v1
Abstract
A braided fusion category is said to have Property if the associated braid group representations factor over a finite group. We verify integral metaplectic modular categories have property by showing these categories are group theoretical. For the special case of integral categories with the fusion rules of we determine the finite group for which is braided equivalent to . In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point.
Cite
@article{arxiv.1901.04462,
title = {Integral Metaplectic Modular Categories},
author = {Adam Deaton and Paul Gustafson and Leslie Mavrakis and Eric C. Rowell and Sasha Poltoratski and Sydney Timmerman and Benjamin Warren and Qing Zhang},
journal= {arXiv preprint arXiv:1901.04462},
year = {2019}
}
Comments
10 pages