학술논문

Integral metaplectic modular categories.
Document Type
Article
Source
Journal of Knot Theory & Its Ramifications. Apr2020, Vol. 29 Issue 05, pN.PAG-N.PAG. 9p.
Subject
*FINITE groups
*BRAID group (Knot theory)
*MODULAR groups
*BRAID
*POLYNOMIALS
Language
ISSN
0218-2165
Abstract
A braided fusion category is said to have Property F if the associated braid group representations factor through a finite group. We verify integral metaplectic modular categories have property F by showing these categories are group-theoretical. For the special case of integral categories 𝒞 with the fusion rules of SO (8) 2 we determine the finite group G for which Rep (D ω G) is braided equivalent to 𝒵 (𝒞). In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point. [ABSTRACT FROM AUTHOR]