HEE and HSC for flavors: perturbative structure in open string geometries

Abstract Introduction of electric field in the D-brane worldvolume induces a horizon in the open string geometry perceived by the brane fluctuations. We study the holographic entanglement entropy (HEE) and subregion complexity (HSC) in these asymptotically AdS geometries in three, four and five dime...

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Main Authors: Avik Banerjee, Aranya Bhattacharya, Sabyasachi Maulik
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2021)212
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author Avik Banerjee
Aranya Bhattacharya
Sabyasachi Maulik
author_facet Avik Banerjee
Aranya Bhattacharya
Sabyasachi Maulik
author_sort Avik Banerjee
collection DOAJ
description Abstract Introduction of electric field in the D-brane worldvolume induces a horizon in the open string geometry perceived by the brane fluctuations. We study the holographic entanglement entropy (HEE) and subregion complexity (HSC) in these asymptotically AdS geometries in three, four and five dimensions aiming to capture these quantities in the flavor sector introduced by the D-branes. Both the strip and spherical subregions have been considered. We show that the Bekenstein-Hawking entropy associated with the open string horizon, which earlier failed to reproduce the thermal entropy in the boundary, now precisely matches with the entanglement entropy at high temperatures. We check the validity of embedding function theorem while computing the HEE and attempt to reproduce the first law of entanglement thermodynamics, at least at leading order. On the basis of obtained results, we also reflect upon consequences of applying Ryu-Takayanagi proposal on these non-Einstein geometries.
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spelling doaj.art-289075f59683419481088fd009ed89762022-12-21T18:33:48ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021713210.1007/JHEP07(2021)212HEE and HSC for flavors: perturbative structure in open string geometriesAvik Banerjee0Aranya Bhattacharya1Sabyasachi Maulik2Harish-Chandra Research InstituteTheory Division, Saha Institute of Nuclear PhysicsTheory Division, Saha Institute of Nuclear PhysicsAbstract Introduction of electric field in the D-brane worldvolume induces a horizon in the open string geometry perceived by the brane fluctuations. We study the holographic entanglement entropy (HEE) and subregion complexity (HSC) in these asymptotically AdS geometries in three, four and five dimensions aiming to capture these quantities in the flavor sector introduced by the D-branes. Both the strip and spherical subregions have been considered. We show that the Bekenstein-Hawking entropy associated with the open string horizon, which earlier failed to reproduce the thermal entropy in the boundary, now precisely matches with the entanglement entropy at high temperatures. We check the validity of embedding function theorem while computing the HEE and attempt to reproduce the first law of entanglement thermodynamics, at least at leading order. On the basis of obtained results, we also reflect upon consequences of applying Ryu-Takayanagi proposal on these non-Einstein geometries.https://doi.org/10.1007/JHEP07(2021)212AdS-CFT CorrespondenceGauge-gravity correspondenceD-branes
spellingShingle Avik Banerjee
Aranya Bhattacharya
Sabyasachi Maulik
HEE and HSC for flavors: perturbative structure in open string geometries
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
D-branes
title HEE and HSC for flavors: perturbative structure in open string geometries
title_full HEE and HSC for flavors: perturbative structure in open string geometries
title_fullStr HEE and HSC for flavors: perturbative structure in open string geometries
title_full_unstemmed HEE and HSC for flavors: perturbative structure in open string geometries
title_short HEE and HSC for flavors: perturbative structure in open string geometries
title_sort hee and hsc for flavors perturbative structure in open string geometries
topic AdS-CFT Correspondence
Gauge-gravity correspondence
D-branes
url https://doi.org/10.1007/JHEP07(2021)212
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AT aranyabhattacharya heeandhscforflavorsperturbativestructureinopenstringgeometries
AT sabyasachimaulik heeandhscforflavorsperturbativestructureinopenstringgeometries