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Calibrated entanglement entropy

Bakhmatov, I, Deger, NS, Gutowski, Jan, Colgain, EO and Yavartanoo, H (2017) Calibrated entanglement entropy Journal of High Energy Physics.

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Abstract

The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal surfaces as special Lagrangian cycles calibrated by the real part of the holomorphic one-form of a spacelike hypersurface. We show that (generalised) calibrations provide a unified way to determine holographic entanglement entropy from minimal surfaces, which is applicable to warped AdS3 geometries. We briefly discuss generalisations to higher dimensions.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Bakhmatov, IUNSPECIFIEDUNSPECIFIED
Deger, NSUNSPECIFIEDUNSPECIFIED
Gutowski, Janj.gutowski@surrey.ac.ukUNSPECIFIED
Colgain, EOUNSPECIFIEDUNSPECIFIED
Yavartanoo, HUNSPECIFIEDUNSPECIFIED
Date : November 2017
Copyright Disclaimer : Copyright 2017 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Uncontrolled Keywords : AdS-CFT Correspondence, Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT)
Depositing User : Melanie Hughes
Date Deposited : 15 Aug 2017 12:14
Last Modified : 06 Oct 2017 09:14
URI: http://epubs.surrey.ac.uk/id/eprint/841919

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