Classification of invertible fermionic GQLs by modular extensions
Classification of invertible fermionic GQLs by modular extensions
Let be a fermionic symmetry group and let be the corresponding symmetric fusion category. Let be a modular extension of , and let denote the central charge. Fermionic GQL classification conjecture. Invertible fermionic GQLs with symmetry are classified by , where is a modular extension of , and is the central charge determining the layers of integer quantum Hall states. The claim is the fermionic analogue of the proposed bosonic classification; the source gives no resolution of it.
Sources & referencesView supporting material
Primary source
Tian Lan, Liang Kong and Xiao-Gang Wen, “Classification of 2+1D topological orders and SPT orders for bosonic and fermionic systems with on-site symmetries”, arXiv:1602.05946 (2017).
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