
arXiv: 2212.09038
An invariant of SPT-phases with on-site finite group G symmetry for two-dimensional Fermion systems is derived in the work of Ogata [Commun. Math. Phys. 395(1), 405–457 (2022)]. This invariant is doubled compared to the conjectured one from the invertible quantum field theory. We show that if we require CRT-symmetry (which holds automatically in quantum field theory) in addition, then our invariant reduces to the conjectured one.
Fermionic systems in quantum theory, Symmetry breaking in quantum theory, FOS: Physical sciences, Mathematical Physics (math-ph), Topological field theories in quantum mechanics, Mathematical Physics
Fermionic systems in quantum theory, Symmetry breaking in quantum theory, FOS: Physical sciences, Mathematical Physics (math-ph), Topological field theories in quantum mechanics, Mathematical Physics
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