Entanglement and topological interfaces
High Energy Physics - Theory
2016-11-03 v2 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.1512.05945,
title = {Entanglement and topological interfaces},
author = {Enrico M. Brehm and Ilka Brunner and Daniel Jaud and Cornelius Schmidt-Colinet},
journal= {arXiv preprint arXiv:1512.05945},
year = {2016}
}
Comments
30 pages, 2 figures. References added, typos corrected