On classification of super-modular categories of rank 8

DOI10.1142/S021949882140017XMaRDI QIDQ4988187

No author found.

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09843

zbMATH Keywords

Galois actionclassification by ranksuper-modular categories

Mathematics Subject Classification ID

Fusion categories, modular tensor categories, modular functors (18M20) Categorical Galois theory (18E50)

Related Items (5)

On classification of fermionic rational conformal field theories ⋮ Hecke relations among 2d fermionic RCFTs ⋮ On the Grothendieck ring of fusion categories of rank 5 ⋮ Modular categories with transitive Galois actions ⋮ Pre-modular fusion categories of small global dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A finiteness property for braided fusion categories
• Congruence subgroups and generalized Frobenius-Schur indicators
• Congruence subgroups and super-modular categories
• Rank 4 premodular categories
• On the classification of weakly integral modular categories
• Interferometry of non-Abelian anyons
• On braided fusion categories. I
• On classification of modular tensor categories
• Some properties of finite-dimensional semisimple Hopf algebras
• Fusion categories of rank 2
• Invariants of spin three-manifolds from Chern-Simons theory and finite-dimensional Hopf algebras
• Fermionic 6j-symbols in superfusion categories
• Galois extensions of braided tensor categories and braided crossed G-categories
• Topological quantum field theories for surfaces with spin structure
• On the structure of the Witt group of braided fusion categories
• Premodular categories, modularisations and invariants of 3-manifolds
• Galois theory for braided tensor categories and the modular closure
• On slightly degenerate fusion categories
• Classification of super-modular categories by rank
• A spin decomposition of the verlinde formulas for type A modular categories
• Rank-finiteness for modular categories
• Classification of Integral Modular Categories of Frobenius–Perron Dimension pq⁴ and p²q²
• Fermionic modular categories and the 16-fold way
• Non-Abelian anyons and topological quantum computation
• Classification of rank 5 premodular categories
• Dimension as a quantum statistic and the classification of metaplectic categories
• On the Structure of Modular Categories
• On Classification of Modular Categories by Rank: Table A.1
• The Witt group of non-degenerate braided fusion categories
• Monoidal Categories Enriched in Braided Monoidal Categories
• Tensor Categories

This page was built for publication: On classification of super-modular categories of rank 8