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.
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2023
Author(s)
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