Symmetry Protected Topological phases and Generalized Cohomology
High Energy Physics - Theory
2019-11-05 v2 Strongly Correlated Electrons
Algebraic Topology
Abstract
We discuss the classification of SPT phases in condensed matter systems. We review Kitaev's argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems. We propose a concrete description of that spectrum and of the corresponding cohomology theory. We compare our proposal to pre-existing constructions in the literature.
Cite
@article{arxiv.1712.07950,
title = {Symmetry Protected Topological phases and Generalized Cohomology},
author = {Davide Gaiotto and Theo Johnson-Freyd},
journal= {arXiv preprint arXiv:1712.07950},
year = {2019}
}
Comments
27 pages, 10 figures. v2: citation update