Universal entanglement and boundary geometry in conformal field theory

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Publication:1638193

DOI10.1007/JHEP01(2016)162zbMATH Open1388.81082arXiv1510.00021MaRDI QIDQ1638193

Author name not available (Why is that?)

Publication date: 12 June 2018

Published in: (Search for Journal in Brave)

Abstract: Employing a conformal map to hyperbolic space cross a circle, we compute the universal contribution to the vacuum entanglement entropy (EE) across a sphere in even-dimensional conformal field theory. Previous attempts to derive the EE in this way were hindered by a lack of knowledge of the appropriate boundary terms in the trace anomaly. In this paper we show that the universal part of the EE can be treated as a purely boundary effect. As a byproduct of our computation, we derive an explicit form for the A-type anomaly contribution to the Wess-Zumino term for the trace anomaly, now including boundary terms. In d=4 and 6, these boundary terms generalize earlier bulk actions derived in the literature.


Full work available at URL: https://arxiv.org/abs/1510.00021



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