Fetching the paper…

Reading the bibliography…

Gravity Dual of Quantum Information Metric · Around

2015

Gravity Dual of Quantum Information Metric

Miyaji, Masamichi, Numasawa, Tokiro, Shiba, Noburo et al.

Original
PDF
Post on X

Understand

We study a quantum information metric (or fidelity susceptibility) in conformal field theories with respect to a small perturbation by a primary operator.

We argue that its gravity dual is approximately given by a volume of maximal time slice in an AdS spacetime when the perturbation is exactly marginal.
We confirm our claim in several examples.

Built on

S. L. Braunstein and C. M. Caves, “Statistical distance and the geometry of quantum states,” Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
H. Osborn and A. C. Petkos, “Implications of conformal invariance in field theories for general dimensions,” Annals Phys. 231 (1994) 311 [hep-th/9307010]
1994
Earlier work this paper cites.
G. ’t Hooft, [arXiv:gr-qc/9310026]; L. Susskind, J. Math. Phys. 36
1995
Earlier work this paper cites.
A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Phys. Lett. B 379
1996
Earlier work this paper cites.
J. M. Maldacena, Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
A. Karch and L. Randall, “Locally localized gravity,” JHEP 0105
2001
Earlier work this paper cites.

Similar

J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Cited alongside, same era.
D. Bak, M. Gutperle and S. Hirano, “A Dilatonic deformation of AdS(5) and its field theory dual,” JHEP 0305
2003
Cited alongside, same era.
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96
Original
2007
Cited alongside, same era.
D. Bak, M. Gutperle and S. Hirano, “Three dimensional Janus and time-dependent black holes,” JHEP 0702
2007
Cited alongside, same era.
T. Azeyanagi, A. Karch, T. Takayanagi and E. G. Thompson, “Holographic calculation of boundary entropy,” JHEP 0803
Original
2008
Cited alongside, same era.

Then

T. Takayanagi, “Holographic Dual of BCFT,” Phys. Rev. Lett. 107
Original
2011
Later among the works it cites.
M. Nozaki, S. Ryu and T. Takayanagi, JHEP 1210
Original
2012
Later among the works it cites.
M. Nozaki, T. Takayanagi and T. Ugajin, “Central Charges for BCFTs and Holography,” JHEP 1206
Original
2012
Later among the works it cites.
T. Hartman and J. Maldacena, “Time Evolution of Entanglement Entropy from Black Hole Interiors,” JHEP 1305
Original
2013
Later among the works it cites.
D. Stanford and L. Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev. D 90
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…

S-J. Gu, “Fidelity Approach to Quantum Phase Transitions,” Int. J. Mod. Phys. B 24

2010

Cited alongside, same era.

L. Susskind, “Computational Complexity and Black Hole Horizons,” arXiv:1403.5695 [hep-th]; “Entanglement is not Enough,” arXiv:1411.0690 [hep-th]

Cited in the paper.

2014

Later among the works it cites.