Classification of 2+1D GQLs by bulk category, modular extension and central charge
Classification of 2+1D GQLs by bulk category, modular extension and central charge
Let be the symmetry category, let be a non-degenerate unitary braided fusion category over , and let be a modular extension of . Let be the central charge. GQL classification conjecture. D GQLs with symmetry , namely D SET orders, are classified by , where describes the bulk topological excitations, describes the edge state up to states, and determines the layers of states. This is the paper's proposed full classification of SET and SPT orders through bulk categorical data, modular extensions and central charge; the source gives no resolution.
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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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