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Entanglement bootstrap approach for gapped domain walls

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arxiv 2008.11793 v2 pith:7K5X5DP6 submitted 2020-08-26 cond-mat.str-el hep-thquant-ph

classification cond-mat.str-elhep-thquant-ph
keywords domaingappedsectorswallsentanglementfusionsuperselectionaxioms
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We develop a theory of gapped domain wall between topologically ordered systems in two spatial dimensions. We find a new type of superselection sector -- referred to as the parton sector -- that subdivides the known superselection sectors localized on gapped domain walls. Moreover, we introduce and study the properties of composite superselection sectors that are made out of the parton sectors. We explain a systematic method to define these sectors, their fusion spaces, and their fusion rules, by deriving nontrivial identities relating their quantum dimensions and fusion multiplicities. We propose a set of axioms regarding the ground state entanglement entropy of systems that can host gapped domain walls, generalizing the bulk axioms proposed in [B. Shi, K. Kato, and I. H. Kim, Ann. Phys. 418, 168164 (2020)]. Similar to our analysis in the bulk, we derive our main results by examining the self-consistency relations of an object called information convex set. As an application, we define an analog of topological entanglement entropy for gapped domain walls and derive its exact expression.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A systematic search for conformal field theories in very small spaces

    hep-th 2025-09 conditional novelty 7.0 of 10

    A symmetry-free entropy search on four-site states recovers known CFTs and yields unclassified candidate CFTs with 1<c<2.

  2. An Algebraic Theory of Gapped Domain Wall Partons

    cond-mat.str-el 2025-06 conditional novelty 6.0 of 10

    Parton sectors on gapped domain walls are identified with indecomposable bimodule subcategories of relative tensor products, giving a categorical theory with a proven dimension formula.

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