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Integral Metaplectic Modular Categories
- 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
- Subjects :
- Mathematics - Quantum Algebra
18D10 (Primary) 20F36, 57M27 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1901.04462
- Document Type :
- Working Paper