Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries

DOI10.1007/s00220-016-2748-yzbMath1361.81184arXiv1602.05936OpenAlexW2280843209MaRDI QIDQ521161

Tian Lan, Liang Kong, Xiao-Gang Wen

Publication date: 6 April 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05936

Mathematics Subject Classification ID

Related Items (19)

Mini-workshop: Non-semisimple tensor categories and their semisimplification. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting) ⋮ Minimal extensions of Tannakian categories in positive characteristic ⋮ Minimal nondegenerate extensions ⋮ Equivariant Morita theory for graded tensor categories ⋮ On the minimal extension and structure of braided weakly group-theoretical fusion categories ⋮ Drinfeld centers of fusion categories arising from generalized Haagerup subfactors ⋮ Fermionic modular categories and the 16-fold way ⋮ Classification of gapped quantum liquid phases of matter ⋮ Rank-finiteness for \(G\)-crossed braided fusion categories ⋮ Vertex operator superalgebras and the 16-fold way ⋮ Classification of topological phases with finite internal symmetries in all dimensions ⋮ The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory ⋮ Mathematics of topological quantum computing ⋮ Classes of topological qubits from low-dimensional quantum spin systems ⋮ The symmetry enriched center functor is fully faithful ⋮ One dimensional gapped quantum phases and enriched fusion categories ⋮ Computing the group of minimal non-degenerate extensions of a super-Tannakian category ⋮ Numerical identification and gapped boundaries of Abelian fermionic topological order ⋮ On finite non-degenerate braided tensor categories with a Lagrangian subcategory

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