On invariants of modular categories beyond modular data

被引：8

作者：

Bonderson, Parsa ^{[1
]}

Delaney, Colleen ^{[2
]}

Galindo, Cesar ^{[3
]}

Rowell, Eric C. ^{[4
]}

Tran, Alan ^{[5
]}

Wang, Zhenghan ^{[2
,6
]}

机构：

[1] Microsoft Stn Q, Santa Barbara, CA USA

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[3] Univ Los Andes, Dept Matemat, Bogota, Colombia

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

[5] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA

[6] Univ Calif Santa Barbara, Microsoft Stn Q, Santa Barbara, CA 93106 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2019年 / 223卷 / 09期

关键词：

D O I：

10.1016/j.jpaa.2018.12.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study novel invariants of modular categories that are beyond the modular data, with an eye towards a simple set of complete invariants for modular categories. Our focus is on the W-matrix the quantum invariant of a colored framed Whitehead link from the associated TQFT of a modular category. We prove that the W-matrix and the set of punctured S-matrices are strictly beyond the modular data (S, T). Whether or not the triple (S, T, W) constitutes a complete invariant of modular categories remains an open question. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：4065 / 4088

页数：24

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