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Kapustin, Anton; Thorngren, Ryan; Turzillo, Alex; Wang, Zitao
The journal of high energy physics, 12/2015, Letnik: 2015, Številka: 12Journal Article
A bstract It has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with ℤ 2 symmetry, where ℤ 2 is either time-reversal or an internal symmetry. We find that cobordism classification correctly describes all known Fermionic SPT phases in space dimension D ≤ 3 and also predicts that all such phases can be realized by free fermions. In higher dimensions we predict the existence of inherently interacting fermionic SPT phases.
