On gapped boundaries for SPT phases beyond group cohomology

Fuente: arXiv
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Autores principales: Kobayashi, Ryohei, Ohmori, Kantaro, Tachikawa, Yuji
Formato: Preprint
Publicado: 2019
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author Kobayashi, Ryohei
Ohmori, Kantaro
Tachikawa, Yuji
author_facet Kobayashi, Ryohei
Ohmori, Kantaro
Tachikawa, Yuji
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1905_05391
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle On gapped boundaries for SPT phases beyond group cohomology
Kobayashi, Ryohei
Ohmori, Kantaro
Tachikawa, Yuji
Strongly Correlated Electrons
High Energy Physics - Theory
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.
title On gapped boundaries for SPT phases beyond group cohomology
topic Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/1905.05391