Equivalent equations of motion for gravity and entropy
We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Antide 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 waveequation on kinematic space and that this equation arises in natural correspondence to the conformal Casimir equation in the CFT.
 Authors:

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;
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 Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics. Physics Dept.
 SLAC National Accelerator Lab., Menlo Park, CA (United States). Theory Group
 Publication Date:
 Grant/Contract Number:
 AC0276SF00515
 Type:
 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 10298479
 Publisher:
 Springer Berlin
 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)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; Conformal Field Theory
 OSTI Identifier:
 1353113
Czech, Bartlomiej, Lamprou, Lampros, McCandlish, Samuel, Mosk, Benjamin, and Sully, James. Equivalent equations of motion for gravity and entropy. United States: N. p.,
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. 2017.
"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 Antide 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 waveequation 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 = {2017},
month = {2}
}