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A Remark on Gapped Domain Walls Between Topological Phases

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Abstract

We give a mathematical definition of a gapped domain wall between topological phases and a gapped boundary of a topological phase. We then provide answers to some recent questions studied by Lan, Wang and Wen in condensed matter physics based on works of Davydov, Müger, Nikshych and Ostrik. In particular, we identify their tunneling matrix and a coupling matrix of Rehren, and show that their conjecture does not hold.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo, 153-8914, Japan

    Yasuyuki Kawahigashi

  2. Kavli IPMU (WPI), The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan

    Yasuyuki Kawahigashi

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  1. Yasuyuki Kawahigashi
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Correspondence to Yasuyuki Kawahigashi.

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Supported in part by Research Grants and the Grants-in-Aid for Scientific Research, JSPS.

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Kawahigashi, Y. A Remark on Gapped Domain Walls Between Topological Phases. Lett Math Phys 105, 893–899 (2015). https://doi.org/10.1007/s11005-015-0766-x

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  • DOI: https://doi.org/10.1007/s11005-015-0766-x

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