Classification of Rank 5 Premodular Categories

Abstract

We survey a number of classification tools developed in recent years and employ them to classify pseudo-unitary rank 5 premodular categories up to equivalence.

References in corpus (5)

• On classification of modular categories by rank
• Weakly group-theoretical and solvable fusion categories
• On classification of modular tensor categories
• (3+1)-TQFTs and Topological Insulators
• Classification of fusion categories of dimension pq

Cited by in corpus (4)

• Fusion categories containing a fusion subcategory with maximal rank
• Boundary topological entanglement entropy in two and three dimensions
• Classification of super-modular categories
• Fusion Structure from Exchange Symmetry in (2+1)-Dimensions