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Entanglement and topological interfaces

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arxiv 1512.05945 v2 pith:YES6SVN7 submitted 2015-12-18 hep-th cond-mat.stat-mech

Enrico M. Brehm , Ilka Brunner , Daniel Jaud , Cornelius Schmidt-Colinet This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords entanglemententropyinterfaceinterfacestopologicaltheoriesaddsanalogy
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In this paper we consider entanglement entropies in two-dimensional conformal field theories in the presence of topological interfaces. Tracing over one side of the interface, the leading term of the entropy remains unchanged. The interface however adds a subleading contribution, which can be interpreted as a relative (Kullback-Leibler) entropy with respect to the situation with no defect inserted. Reinterpreting boundaries as topological interfaces of a chiral half of the full theory, we rederive the left/right entanglement entropy in analogy with the interface case. We discuss WZW models and toroidal bosonic theories as examples.

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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. Complex Conformal Manifolds

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.

  2. Nonrenormalization Theorem for ${\cal N}=(4,4)$ Interface Entropy

    hep-th 2025-02 conditional novelty 6.0 of 10

    Interface entropy for half-BPS interfaces in N=(4,4) 2D CFTs is given by the Kähler diastasis and is invariant under conformal manifold isometries, yielding a non-renormalization theorem.

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