Classification of Metaplectic Modular Categories
Eddy Ardonne, Meng Cheng, Eric C. Rowell, Zhenghan Wang
TL;DR
This paper classifies metaplectic modular categories, showing they are all derived from gauging symmetries of cyclic categories, and conjectures a broader link for weakly-integral modular categories.
Contribution
It provides a complete classification of metaplectic modular categories and proposes a conjecture relating all weakly-integral modular categories to gauging symmetries.
Findings
Metaplectic modular categories are gauged particle-hole symmetries of cyclic categories
Supports the conjecture that all weakly-integral modular categories are obtained by gauging symmetries
Provides a framework for understanding the structure of modular categories
Abstract
We obtain a classification of metaplectic modular categories: every metaplectic modular category is a gauging of the particle-hole symmetry of a cyclic modular category. Our classification suggests a conjecture that every weakly-integral modular category can be obtained by gauging a symmetry of a pointed modular category.
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