Entanglement and topological interfaces

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 interp...

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Bibliographic Details
Published in:Fortschritte der Physik 2016-06, Vol.64 (6-7), p.516-535
Main Authors: Brehm, E., Brunner, I., Jaud, D., Schmidt-Colinet, C.
Format: Article
Language:eng ; ger
Subjects:
Entropy
Physics
Topology
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Summary: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. The entanglement entropies in twodimensional conformal field theories in the presence of topological interfaces is considered. 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, the authors rederive the left/right entanglement entropy in analogy with the interface case. We discuss WZW models and toroidalbosonic theories as examples.
ISSN:0015-8208
1521-3978
DOI:10.1002/prop.201600024