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arXiv · 1608.03762

Classification of Metaplectic Fusion Categories

Eddy Ardonne·Peter E. Finch·Matthew Titsworth
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Abstract

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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BibTeXRIS

Eddy Ardonne, Peter E. Finch, Matthew Titsworth. 2016-08-12. Classification of Metaplectic Fusion Categories. https://doi.org/10.3390/sym13112102

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