Integral Metaplectic Modular Categories Institutional Repository Document uri icon


  • A braided fusion category is said to have Property $ extbf{F}$ if the associated braid group representations factor over a finite group. We verify integral metaplectic modular categories have property $ extbf{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.

author list (cited authors)

  • Deaton, A., Gustafson, P., Mavrakis, L., Rowell, E. C., Poltoratski, S., Timmerman, S., Warren, B., & Zhang, Q.

complete list of authors

  • Deaton, Adam||Gustafson, Paul||Mavrakis, Leslie||Rowell, Eric C||Poltoratski, Sasha||Timmerman, Sydney||Warren, Benjamin||Zhang, Qing

Book Title

  • arXiv

publication date

  • January 2019