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Title: Equivalent equations of motion for gravity and entropy

Abstract

We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter space. In doing so, we make use of the formalism of kinematic space and fields on this space. We show that the gravitational dynamics are equivalent to a gauge invariant wave-equation on kinematic space and that this equation arises in natural correspondence to the conformal Casimir equation in the CFT.

Authors:
 [1];  [1]; ORCiD logo [1];  [1];  [2]
  1. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics. Physics Dept.
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). Theory Group
Publication Date:
Research Org.:
Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE; The Netherlands Organisation for Scientific Research (NWO) (Netherlands)
OSTI Identifier:
1353113
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal Field Theory

Citation Formats

Czech, Bartlomiej, Lamprou, Lampros, McCandlish, Samuel, Mosk, Benjamin, and Sully, James. Equivalent equations of motion for gravity and entropy. United States: N. p., 2017. Web. doi:10.1007/JHEP02(2017)004.
Czech, Bartlomiej, Lamprou, Lampros, McCandlish, Samuel, Mosk, Benjamin, & Sully, James. Equivalent equations of motion for gravity and entropy. United States. doi:10.1007/JHEP02(2017)004.
Czech, Bartlomiej, Lamprou, Lampros, McCandlish, Samuel, Mosk, Benjamin, and Sully, James. Wed . "Equivalent equations of motion for gravity and entropy". United States. doi:10.1007/JHEP02(2017)004. https://www.osti.gov/servlets/purl/1353113.
@article{osti_1353113,
title = {Equivalent equations of motion for gravity and entropy},
author = {Czech, Bartlomiej and Lamprou, Lampros and McCandlish, Samuel and Mosk, Benjamin and Sully, James},
abstractNote = {We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter space. In doing so, we make use of the formalism of kinematic space and fields on this space. We show that the gravitational dynamics are equivalent to a gauge invariant wave-equation on kinematic space and that this equation arises in natural correspondence to the conformal Casimir equation in the CFT.},
doi = {10.1007/JHEP02(2017)004},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2017,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4 works
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