Built on

S. W. Hawking and D. N. Page, “Thermodynamics Of Black Holes In Anti-De Sitter Space,” Commun. Math. Phys. 87
1983
Earlier work this paper cites.
M.Banados, C.Teitelboim, J.Zanelli, “Black hole in three-dimensional spacetime”. Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M.Banados, M.Henneaux, C.Teitelboim, et al. “Geometry of the 2+1 black hole,” Phys. Rev. D 48
1993
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical 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.
J. Maldacena, “The large-N limit of superconformal field theories and supergravity”, Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
J.Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Earlier work this paper cites.
S. Ryu, T. Takayanagi, “Holographic derivation of entanglement entropy from the anti-de sitter space/conformal field theory correspondence,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
G.Vidal,“Entanglement renormalization,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.

Similar

G.Vidal, “Class of quantum many-body states that can be efficiently simulated,” Phys. Rev. Lett. 101
2008
Cited alongside, same era.
P. Hořava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
M. Fujita, T. Takayanagi, E. Tonni, “Aspects of AdS/BCFT,” JHEP 1111
Original
2011
Cited alongside, same era.
B.Swingle, “Entanglement renormalization and holography,” Phys. Rev. D 86
Original
2012
Cited alongside, same era.
M. Nozaki, S. Ryu, T. Takayanagi, “Holographic geometry of entanglement renormalization in quantum field theories,” JHEP 1210
Original
2012
Cited alongside, same era.

Then

T. Griffin, P. Hořava, and C. M. Melby-Thompson, “Lifshitz Gravity for Lifshitz Holography,” Phys. Rev. Lett. 110
Original
2013
Later among the works it cites.
J. Molina-Vilaplana and J. Prior, “Entanglement, Tensor Networks and Black Hole Horizons,” Gen. Rel. Grav 46
Original
2014
Later among the works it cites.
A. Mollabashi, M. Nozaki, S. Ryu, and T. Takayanagi, “Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature,” JHEP 1403
Original
2014
Later among the works it cites.
F.-W. Shu, K. Lin, A. Wang, and Q. Wu, “Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point,” JHEP 1404
Original
2014
Later among the works it cites.
M. Miyaji, T. Takayanagi, “Surface/State Correspondence as a Generalized Holography,” Prog. Theor. Exp. Phys. 2015

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2016

Thermal geometry from CFT at finite temperature

Gan, Wen-Cong, Shu, Fu-Wen, Wu, Meng-He

Understand

We present how the thermal geometry emerges from CFT at finite temperature by using the truncated entanglement renormalization network, the cMERA.

For the case of $2d$ CFT, the reduced geometry is the BTZ black hole or the thermal AdS as expectation.
In order to determine which spacetimes prefer to form, we propose a cMERA description of the Hawking-Page phase transition.
Our proposal is in agreement with the picture of the recent proposed surface/state correspondence.

Built on

S. W. Hawking and D. N. Page, “Thermodynamics Of Black Holes In Anti-De Sitter Space,” Commun. Math. Phys. 87
1983
Earlier work this paper cites.
M.Banados, C.Teitelboim, J.Zanelli, “Black hole in three-dimensional spacetime”. Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M.Banados, M.Henneaux, C.Teitelboim, et al. “Geometry of the 2+1 black hole,” Phys. Rev. D 48
1993
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical 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.
J. Maldacena, “The large-N limit of superconformal field theories and supergravity”, Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
J.Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Earlier work this paper cites.
S. Ryu, T. Takayanagi, “Holographic derivation of entanglement entropy from the anti-de sitter space/conformal field theory correspondence,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
G.Vidal,“Entanglement renormalization,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.

Similar

G.Vidal, “Class of quantum many-body states that can be efficiently simulated,” Phys. Rev. Lett. 101
2008
Cited alongside, same era.
P. Hořava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
M. Fujita, T. Takayanagi, E. Tonni, “Aspects of AdS/BCFT,” JHEP 1111
Original
2011
Cited alongside, same era.
B.Swingle, “Entanglement renormalization and holography,” Phys. Rev. D 86
Original
2012
Cited alongside, same era.
M. Nozaki, S. Ryu, T. Takayanagi, “Holographic geometry of entanglement renormalization in quantum field theories,” JHEP 1210
Original
2012
Cited alongside, same era.

Then

T. Griffin, P. Hořava, and C. M. Melby-Thompson, “Lifshitz Gravity for Lifshitz Holography,” Phys. Rev. Lett. 110
Original
2013
Later among the works it cites.
J. Molina-Vilaplana and J. Prior, “Entanglement, Tensor Networks and Black Hole Horizons,” Gen. Rel. Grav 46
Original
2014
Later among the works it cites.
A. Mollabashi, M. Nozaki, S. Ryu, and T. Takayanagi, “Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature,” JHEP 1403
Original
2014
Later among the works it cites.
F.-W. Shu, K. Lin, A. Wang, and Q. Wu, “Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point,” JHEP 1404
Original
2014
Later among the works it cites.
M. Miyaji, T. Takayanagi, “Surface/State Correspondence as a Generalized Holography,” Prog. Theor. Exp. Phys. 2015

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

J.Haegeman, T.J.Osborne, H.Verschelde and F.Verstraete, “Entanglement renormalization for quantum fields in real space,” Phys. Rev. Lett. 110

Original

2013

Cited alongside, same era.

H. Matsueda, M. Ishihara and Y. Hashizume, “Tensor Network and Black Hole,” Phys. Rev. D 87

Original

2013

Cited alongside, same era.

T. Hartman and J. Maldacena, “Time Evolution of Entanglement Entropy from Black Hole Interiors,” JHEP 1305

Original

2013

Cited alongside, same era.

B.Swingle, “Constructing holographic spacetimes using entanglement renormalization,” [arXiv:1209.3304 [hep-th]]

Original

Cited in the paper.

Wen-Cong Gan,Fu-Wen Shu and Meng-He Wu, surface/state construction for asymptotic AdS spacetime. work in progress

Cited in the paper.

Original

2015

Later among the works it cites.

M. Miyaji, T. Numasawa, N. Shiba, et al, “Continuous Multiscale Entanglement Renormalization Ansatz as Holographic Surface-State Correspondence,” Phys. Rev. Lett. 115

Original

2015

Later among the works it cites.

M.Miyaji, S.Ryu, T.Takayanagi and X.Wen, “Boundary states as holographic duals of trivial spacetimes,” JHEP 1505

Original

2015

Later among the works it cites.

K. Lin, F.-W. Shu, A. Wang, and Q. Wu, “High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity,” Phys. Rev. D 91

2015

Later among the works it cites.