English

Integral Metaplectic Modular Categories

Quantum Algebra 2019-01-15 v1

Abstract

A braided fusion category is said to have Property F\textbf{F} if the associated braid group representations factor over a finite group. We verify integral metaplectic modular categories have property F\textbf{F} by showing these categories are group theoretical. For the special case of integral categories C\mathcal{C} with the fusion rules of SO(8)2SO(8)_2 we determine the finite group GG for which Rep(DωG)Rep(D^{\omega}G) is braided equivalent to Z(C)\mathcal{Z}(\mathcal{C}). In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point.

Keywords

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

R2 v1 2026-06-23T07:11:26.541Z