English

On gapped boundaries for SPT phases beyond group cohomology

Strongly Correlated Electrons 2024-10-22 v1 High Energy Physics - Theory

Abstract

We discuss a strategy to construct gapped boundaries for a large class of symmetry-protected topological phases (SPT phases) beyond group cohomology. This is done by a generalization of the symmetry extension method previously used for cohomological SPT phases. We find that this method allows us to construct gapped boundaries for time-reversal-invariant bosonic SPT phases and for fermionic Gu-Wen SPT phases for arbitrary finite internal symmetry groups.

Keywords

Cite

@article{arxiv.1905.05391,
  title  = {On gapped boundaries for SPT phases beyond group cohomology},
  author = {Ryohei Kobayashi and Kantaro Ohmori and Yuji Tachikawa},
  journal= {arXiv preprint arXiv:1905.05391},
  year   = {2024}
}

Comments

22 pages, 4 figures