Classification of Metaplectic 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.

References in corpus (3)

• Fermionic Modular Categories and the 16-fold Way
• On Gauging Symmetry of Modular Categories
• On classification of modular categories by rank

Cited by in corpus (11)

• In and around Abelian anyon models
• Spontaneous symmetry breaking from anyon condensation
• Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six
• Reconstruction of modular data from $S{L}_2(\mathbb{Z})$ representations
• Categories of quantum liquids II
• Conformal Net Realizability of Tambara-Yamagami Categories and Generalized Metaplectic Modular Categories
• Classification of Metaplectic Fusion Categories
• From Torus Bundles to Particle-Hole Equivariantization
• Metaplectic Categories, Gauging and Property F
• Braid group representations from twisted tensor products of algebras
• Quadratic $d$-numbers