Weak minimal area in entanglement entropy
type: Item
instance of: scholarly article
title: Weak minimal area in entanglement entropy
zbMATH Open document ID: 1433.83019
DOI: 10.1155/2015/523408
author: Shesansu Sekhar Pal
author: Shubhalaxmi Rath
published in: Advances in High Energy Physics
publication date: 2015-11-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1406.5593
review text: Summary: We revisit the minimal area condition of Ryu-Takayanagi in the holographic calculation of the entanglement entropy, in particular, the Legendre test and the Jacobi test. The necessary condition for the weak minimality is checked via Legendre test and its sufficient nature via Jacobi test. We show for AdS black hole with a strip type entangling region that it is this minimality condition that makes the hypersurface unable to cross the horizon, which is in agreement with that studied earlier by Engelhardt et al. and Hubeny using a different approach. Moreover, demanding the weak minimality condition on the entanglement entropy functional with the higher derivative term puts a constraint on the Gauss-Bonnet coupling; that is, there should be an upper bound on the value of the coupling, \(\lambda_a<(d-3)/4(d-1)\).
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 81P40
zbMATH DE Number: 6505148
Wikidata QID: Q59102290
MaRDI profile type: Publication
OpenAlex ID: W2075788675
arXiv ID: 1406.5593
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description: scientific article