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On gapped boundaries for SPT phases beyond group cohomology

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arxiv 1905.05391 v1 pith:XNHFRKLS submitted 2019-05-14 cond-mat.str-el hep-th

Ryohei Kobayashi , Kantaro Ohmori , Yuji Tachikawa This is my paper · ORCID
classification cond-mat.str-elhep-th
keywords phasesboundariesgappedbeyondcohomologyconstructgroupmethod
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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.

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Cited by 2 Pith papers

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  1. The Classification of 3+1d Symmetry Enriched Topological Order

    math-ph 2025-09 conditional novelty 7.0 of 10

    Finite-group-enriched 3+1d topological orders are classified by 2SVect-enriched G-crossed braided fusion 2-categories, with gauging obstructions living in SW^5(BG).

  2. Cancelling mod-2 anomalies by Green-Schwarz mechanism with $B_{\mu\nu}$

    hep-th 2024-11 accept novelty 6.0 of 10

    Mod-2 global anomalies of 8d Sp(n) gauge theory can be canceled by a B-field Green-Schwarz mechanism, but the 4d SU(2) Witten anomaly cannot.

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