Equivalent equations of motion for gravity and entropy

Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel; Mosk, Benjamin; Sully, James

doi:10.1007/JHEP02(2017)004

Title: Equivalent equations of motion for gravity and entropy

Journal Article · Wed Feb 01 00:00:00 EST 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2017)004· OSTI ID:1353113

Czech, Bartlomiej ^[1]; Lamprou, Lampros ^[1];

^[1]; Mosk, Benjamin ^[1]; Sully, James ^[2]

Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics. Physics Dept.
SLAC National Accelerator Lab., Menlo Park, CA (United States). Theory Group

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.

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Research Organization:: Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE; The Netherlands Organisation for Scientific Research (NWO) (Netherlands)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1353113

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 23 works

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Kinematic space and the orbit method Penna, Robert F.; Zukowski, Claire Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/jhep07(2019)045	journal	July 2019
Linearized Einstein’s equation around pure BTZ from entanglement thermodynamics Paul, Partha; Roy, Pratik General Relativity and Gravitation, Vol. 51, Issue 11 https://doi.org/10.1007/s10714-019-2636-9	journal	November 2019
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What’s the point? Hole-ography in Poincaré AdS Espíndola, Ricardo; Güijosa, Alberto; Landetta, Alberto The European Physical Journal C, Vol. 78, Issue 1 https://doi.org/10.1140/epjc/s10052-018-5563-0	journal	January 2018
Entanglement wedge reconstruction and entanglement of purification Espíndola, Ricardo; Güijosa, Alberto; Pedraza, Juan F. The European Physical Journal C, Vol. 78, Issue 8 https://doi.org/10.1140/epjc/s10052-018-6140-2	journal	August 2018
Nonlinear Gravity from Entanglement in Conformal Field Theories Faulkner, Thomas; Haehl, Felix M.; Hijano, Eliot arXiv https://doi.org/10.48550/arxiv.1705.03026	text	January 2017
What's the Point? Hole-ography in Poincare AdS Espíndola, Ricardo; Guijosa, Alberto; Landetta, Alberto arXiv https://doi.org/10.48550/arxiv.1708.02958	text	January 2017
Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space Cao, ChunJun; Carroll, Sean M. arXiv https://doi.org/10.48550/arxiv.1712.02803	text	January 2017
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Towards Bulk Metric Reconstruction from Extremal Area Variations Bao, Ning; Cao, ChunJun; Fischetti, Sebastian arXiv https://doi.org/10.48550/arxiv.1904.04834	text	January 2019

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