Fermionic Symmetry Protected Topological Phases and Cobordisms
Strongly Correlated Electrons
2016-02-09 v2 High Energy Physics - Theory
Abstract
It has been proposed recently that interacting Symmetry Protected Topological (SPT) 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 less than or equal to 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.
Cite
@article{arxiv.1406.7329,
title = {Fermionic Symmetry Protected Topological Phases and Cobordisms},
author = {Anton Kapustin and Ryan Thorngren and Alex Turzillo and Zitao Wang},
journal= {arXiv preprint arXiv:1406.7329},
year = {2016}
}
Comments
26 pages, new references added and a new section on decorated domain walls in v2