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Many-Body Topological Invariants for Fermionic Symmetry-Protected Topological Phases

Many-Body Topological Invariants for Fermionic Symmetry-Protected Topological Phases

We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants are given by partition functions obtained by a path integral on unoriented spacetime which, as we show, can be computed for a given …