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G. Lifschytz and M. Ortiz, “Scalar field quantization on the (2+1)-dimensional black hole background,” Phys. Rev. D 49
1929
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
R. B. Mann and S. N. Solodukhin, “Quantum scalar field on three-dimensional (BTZ) black hole instanton: Heat kernel, effective action and thermodynamics,” Phys. Rev. D 55
1997
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
V. Balasubramanian, P. Kraus and A. E. Lawrence, “Bulk versus boundary dynamics in anti-de Sitter space-time,” Phys. Rev. D 59
1999
Earlier work this paper cites.
J. Louko, D. Marolf and S. F. Ross, “On geodesic propagators and black hole holography,” Phys. Rev. D 62
2000
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Boundary view of horizons and locality,” Phys. Rev. D 73
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Holographic description of the black hole interior,” Phys. Rev. D 75
2007
Earlier work this paper cites.
D. A. Lowe and S. Roy, “Holographic description of asymptotically AdS(2) collapse geometries,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT and the fate of the BTZ singularity,” AMS/IP Stud. Adv. Math. 44
Original
2008
Earlier work this paper cites.
D. A. Lowe, “Black hole complementarity from AdS/CFT,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.

Similar

D. Kabat, G. Lifschytz and D. A. Lowe, “Constructing local bulk observables in interacting AdS/CFT,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
H. Casini, M. Huerta and R. C. Myers, “Towards a derivation of holographic entanglement entropy,” JHEP 1105
Original
2011
Cited alongside, same era.
D. Kabat, G. Lifschytz, S. Roy and D. Sarkar, “Holographic representation of bulk fields with spin in AdS/CFT,” Phys. Rev. D 86
Original
2012
Cited alongside, same era.
D. Kabat and G. Lifschytz, “CFT representation of interacting bulk gauge fields in AdS,” Phys. Rev. D 87
Original
2013
Cited alongside, same era.
A. Almheiri, D. Marolf, J. Polchinski, D. Stanford and J. Sully, “An Apologia for Firewalls,” JHEP 1309

Then

A. Almheiri, X. Dong and D. Harlow, “Bulk Locality and Quantum Error Correction in AdS/CFT,” JHEP 1504
Original
2015
Later among the works it cites.
F. Pastawski, B. Yoshida, D. Harlow and J. Preskill, “Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence,” JHEP 1506
Original
2015
Later among the works it cites.
D. Kabat and G. Lifschytz, “Asymmetric interiors for small black holes,” JHEP 1608
Original
2016
Later among the works it cites.
D. Kabat and G. Lifschytz, “Locality, bulk equations of motion and the conformal bootstrap,” JHEP 1610
Original
2016
Later among the works it cites.
D. L. Jafferis, A. Lewkowycz, J. Maldacena and S. J. Suh, “Relative entropy equals bulk relative entropy,” JHEP 1606

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2018

Bulk metric reconstruction from boundary entanglement

Roy, Shubho R., Sarkar, Debajyoti

Understand

Most of the literature in the \emph{bulk reconstruction program} in holography focuses on recovering local bulk operators propagating on a quasilocal bulk geometry and the knowledge of the bulk geometry is always assumed or guessed.

The fundamental problem of the bulk reconstruction program, which is \emph{recovering the bulk background geometry (metric)} from the boundary CFT state is still outstanding.
In this work, we formulate a recipe to extract the bulk metric itself from the boundary state, specifically, the modular Hamiltonian information of spherical subregions in the boundary.
Our recipe exploits the recent construction of Kabat and Lifschytz \cite{Kabat:2017mun} to first compute the bulk two point function of scalar fields directly in the CFT without knowledge of the bulk metric or the equations of motion, and then to take a large scaling dimension limit (WKB) to extract the geodesic distance between two close points in the bulk i.e.

Built on

G. Lifschytz and M. Ortiz, “Scalar field quantization on the (2+1)-dimensional black hole background,” Phys. Rev. D 49
1929
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
R. B. Mann and S. N. Solodukhin, “Quantum scalar field on three-dimensional (BTZ) black hole instanton: Heat kernel, effective action and thermodynamics,” Phys. Rev. D 55
1997
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
V. Balasubramanian, P. Kraus and A. E. Lawrence, “Bulk versus boundary dynamics in anti-de Sitter space-time,” Phys. Rev. D 59
1999
Earlier work this paper cites.
J. Louko, D. Marolf and S. F. Ross, “On geodesic propagators and black hole holography,” Phys. Rev. D 62
2000
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Boundary view of horizons and locality,” Phys. Rev. D 73
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Holographic description of the black hole interior,” Phys. Rev. D 75
2007
Earlier work this paper cites.
D. A. Lowe and S. Roy, “Holographic description of asymptotically AdS(2) collapse geometries,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT and the fate of the BTZ singularity,” AMS/IP Stud. Adv. Math. 44
Original
2008
Earlier work this paper cites.
D. A. Lowe, “Black hole complementarity from AdS/CFT,” Phys. Rev. D 79
Original
2009
Earlier work this paper cites.