Classification of Metaplectic Fusion Categories

被引：1
|
作者：
Ardonne, Eddy [1 ]
Finch, Peter E. [2 ]
Titsworth, Matthew [3 ]
机构：
[1] Stockholm Univ, Albanova Univ Ctr, Dept Phys, SE-10691 Stockholm, Sweden
[2] Leibniz Univ Hannover, Inst Theoret Phys, Appelstr 2, D-30167 Hannover, Germany
[3] Univ Texas Dallas, Dept Phys, Richardson, TX 75080 USA
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 11期
基金：
瑞典研究理事会;
关键词：
fusion category; metaplectic anyons; gauge invariants; MODULAR CATEGORIES; EQUIVALENCE; ALGEBRAS;
D O I：
10.3390/sym13112102
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study a family of fusion and modular systems realizing fusion categories Grothendieck equivalent to the representation category for so(2p + 1)(2). These categories describe non-abelian anyons dubbed 'metaplectic anyons'. We obtain explicit expressions for all the F- and R-symbols. Based on these, we conjecture a classification for their monoidal equivalence classes from an analysis of their gauge invariants and define a function which gives us the number of classes.
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页数：22
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