Wess-Zumino Consistency Condition for Entanglement Entropy

Details Wess-Zumino Consistency Condition for Entanglement Entropy Wess-Zumino Consistency Condition for Entanglement Entropy

2011-09-26

arxiv.org/abs/1109.5672v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, presentation improved

Scientific paper

In this brief note, we consider the variation of the entanglement entropy of a region as the shape of the entangling surface is changed. We show that the variation satisfies a Wess-Zumino like integrability condition in field theories which can be consistently coupled to gravity. In this case the "anomaly" is localized on the entangling surface. The solution of the integrability condition should give all the nontrivial finite local terms which can appear in the variation of the entanglement entropy.

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