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Integral Metaplectic Modular Categories

Authors :
Deaton, Adam
Gustafson, Paul
Mavrakis, Leslie
Rowell, Eric C.
Poltoratski, Sasha
Timmerman, Sydney
Warren, Benjamin
Zhang, Qing
Publication Year :
2019

Abstract

A braided fusion category is said to have Property $\textbf{F}$ if the associated braid group representations factor over a finite group. We verify integral metaplectic modular categories have property $\textbf{F}$ by showing these categories are group theoretical. For the special case of integral categories $\mathcal{C}$ with the fusion rules of $SO(8)_2$ we determine the finite group $G$ for which $Rep(D^{\omega}G)$ is braided equivalent to $\mathcal{Z}(\mathcal{C})$. In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point.<br />Comment: 10 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1901.04462
Document Type :
Working Paper