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Symmetry-protected topological phases, generalized Laughlin argument, and orientifolds

Symmetry-protected topological phases, generalized Laughlin argument, and orientifolds

We generalize Laughlin's flux insertion argument, originally discussed in the context of the quantum Hall effect, to topological phases protected by non-on-site unitary symmetries, in particular by parity symmetry or parity symmetry combined with an on-site unitary symmetry. As a model, we discuss fermionic or bosonic systems in two spatial …