Built on

K. Pilch and A. N. Schellekens, Formulas for the eigenvalues of the laplacian on tensor harmonics on symmetric coset spaces , Journal of Mathematical Physics 25
1984
Earlier work this paper cites.
gr-qc/9310026
G. ’t Hooft, Dimensional reduction in quantum gravity , in Salamfest 1993:0284-296 , pp. 0284–296, 1993 · 1993
Earlier work this paper cites.
L. Susskind, The World as a hologram , J. Math. Phys. 36
1995
Earlier work this paper cites.
V. Iyer and R. M. Wald, A Comparison of Noether charge and Euclidean methods for computing the entropy of stationary black holes , Phys. Rev. D52
1995
Earlier work this paper cites.
Springer US, 1999
S. Helgason, The Radon Transform , vol. 5 · 1999
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity , Commun. Math. Phys. 208
1999
Earlier work this paper cites.
R. C. Myers, Stress tensors and Casimir energies in the AdS / CFT correspondence , Phys. Rev. D60
1999
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence , Commun. Math. Phys. 217
2001
Earlier work this paper cites.
Universitat Autonoma de Barcelona, 2003
G. Solanes, Integral geometry and curvature integrals in hyperbolic space · 2003
Earlier work this paper cites.

Similar

S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal , JHEP 07
Original
2007
Cited alongside, same era.
H. Casini, M. Huerta and R. C. Myers, Towards a derivation of holographic entanglement entropy , Journal of High Energy Physics 2011
2011
Cited alongside, same era.
D. Kabat, G. Lifschytz and D. A. Lowe, Constructing local bulk observables in interacting AdS/CFT , Phys. Rev. D83
Original
2011
Cited alongside, same era.
V. E. Hubeny and M. Rangamani, Causal Holographic Information , JHEP 06
Original
2012

Then

N. Lashkari, M. B. McDermott and M. Van Raamsdonk, Gravitational dynamics from entanglement ’thermodynamics’ , JHEP 04
Original
2014
Later among the works it cites.
T. Faulkner, M. Guica, T. Hartman, R. C. Myers and M. Van Raamsdonk, Gravitation from Entanglement in Holographic CFTs , JHEP 03
Original
2014
Later among the works it cites.
B. Czech, L. Lamprou, S. McCandlish and J. Sully, Integral Geometry and Holography , JHEP 10
Original
2015
Later among the works it cites.
D. Kabat and G. Lifschytz, Bulk equations of motion from CFT correlators , JHEP 09
Original
2015
Later among the works it cites.
Virgo, LIGO Scientific
Original

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2016

Equivalent Equations of Motion for Gravity and Entropy

Czech, Bartlomiej, Lamprou, Lampros, McCandlish, Samuel et al.

Understand

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 pace.

In doing so, we make use of the formalism of kinematic space [arXiv:1505.05515] and fields on this space, introduced in [arXiv:1604.03110].
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.

Built on

K. Pilch and A. N. Schellekens, Formulas for the eigenvalues of the laplacian on tensor harmonics on symmetric coset spaces , Journal of Mathematical Physics 25
1984
Earlier work this paper cites.
gr-qc/9310026
G. ’t Hooft, Dimensional reduction in quantum gravity , in Salamfest 1993:0284-296 , pp. 0284–296, 1993 · 1993
Earlier work this paper cites.
L. Susskind, The World as a hologram , J. Math. Phys. 36
1995
Earlier work this paper cites.
V. Iyer and R. M. Wald, A Comparison of Noether charge and Euclidean methods for computing the entropy of stationary black holes , Phys. Rev. D52
1995
Earlier work this paper cites.
Springer US, 1999
S. Helgason, The Radon Transform , vol. 5 · 1999
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity , Commun. Math. Phys. 208
1999
Earlier work this paper cites.
R. C. Myers, Stress tensors and Casimir energies in the AdS / CFT correspondence , Phys. Rev. D60
1999
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence , Commun. Math. Phys. 217
2001
Earlier work this paper cites.
Universitat Autonoma de Barcelona, 2003
G. Solanes, Integral geometry and curvature integrals in hyperbolic space · 2003
Earlier work this paper cites.

Similar

S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal , JHEP 07
Original
2007
Cited alongside, same era.
H. Casini, M. Huerta and R. C. Myers, Towards a derivation of holographic entanglement entropy , Journal of High Energy Physics 2011
2011
Cited alongside, same era.
D. Kabat, G. Lifschytz and D. A. Lowe, Constructing local bulk observables in interacting AdS/CFT , Phys. Rev. D83
Original
2011
Cited alongside, same era.
V. E. Hubeny and M. Rangamani, Causal Holographic Information , JHEP 06
Original
2012

Then

N. Lashkari, M. B. McDermott and M. Van Raamsdonk, Gravitational dynamics from entanglement ’thermodynamics’ , JHEP 04
Original
2014
Later among the works it cites.
T. Faulkner, M. Guica, T. Hartman, R. C. Myers and M. Van Raamsdonk, Gravitation from Entanglement in Holographic CFTs , JHEP 03
Original
2014
Later among the works it cites.
B. Czech, L. Lamprou, S. McCandlish and J. Sully, Integral Geometry and Holography , JHEP 10
Original
2015
Later among the works it cites.
D. Kabat and G. Lifschytz, Bulk equations of motion from CFT correlators , JHEP 09
Original
2015
Later among the works it cites.
Virgo, LIGO Scientific
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

I. Heemskerk, D. Marolf, J. Polchinski and J. Sully, Bulk and Transhorizon Measurements in AdS/CFT , JHEP 10

Original

2012

Cited alongside, same era.

M. Nozaki, T. Numasawa, A. Prudenziati and T. Takayanagi, Dynamics of Entanglement Entropy from Einstein Equation , Phys. Rev. D88

Original

2013

Cited alongside, same era.

J. Bhattacharya and T. Takayanagi, Entropic Counterpart of Perturbative Einstein Equation , JHEP 10

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2013

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T. Faulkner, A. Lewkowycz and J. Maldacena, Quantum corrections to holographic entanglement entropy , JHEP 11

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2013

Cited alongside, same era.

B. Czech, L. Lamprou, S. McCandlish, B. Mosk and J. Sully, A Stereoscopic Look into the Bulk , 1604.03110

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Cited in the paper.

B. Swingle and M. Van Raamsdonk, Universality of Gravity from Entanglement , 1405.2933

Original

Cited in the paper.

G. Wong, I. Klich, L. A. P. Zayas and D. Vaman, Entanglement temperature and entanglement entropy of excited states , 1305.3291

Original

Cited in the paper.

2016

Closest in time.

J. de Boer, M. P. Heller, R. C. Myers and Y. Neiman, Holographic de sitter geometry from entanglement in conformal field theory , Phys. Rev. Lett. 116

2016

Closest in time.

B. Mosk, On the First Law, Intertwinement, and the Linearized Gravitational Equations , to appear (2016)

2016

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E. Hijano, P. Kraus, E. Perlmutter and R. Snively, Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks , JHEP 01

Original

2016

Closest in time.