Classification of metaplectic modular categories

• 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 (including the fermion parity) of a pointed (super-)modular category.

Subject headings

NATURVETENSKAP  -- Fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Modular category

Quantum groups at roots of unity

Metaplectic category

Anyons

Publication and Content Type

ref (subject category)

art (subject category)