Integral metaplectic modular categories

被引：0

作者：

Deaton, Adam ^{[1
]}

Gustafson, Paul ^{[1
]}

Mavrakis, Leslie ^{[2
]}

Rowell, Eric C. ^{[1
]}

Poltoratski, Sasha ^{[3
]}

Timmerman, Sydney ^{[4
]}

Warren, Benjamin ^{[5
]}

Zhang, Qing ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Seattle Pacific Univ, Dept Math, Seattle, WA 98119 USA

[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[4] Johns Hopkins Univ, Dept Phys & Astron, Baltimore, MD 21218 USA

[5] Swarthmore Coll, Dept Math & Stat, Swarthmore, PA 19081 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2020年 / 29卷 / 05期

关键词：

Group-theoretical braided fusion category; property F; link invariant; braid group representation;

D O I：

10.1142/S0218216520500327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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(omega)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.

引用

页数：9

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