nLab
Jackiw-Teitelboim gravity

Contents

Contents

Idea

JT-gravity (Teitelboim 83, Jackiw 85) is gravity in 1+1 dimensions with a dilaton.

Properties

Relation to near-extremal black holes

JT-gravity gives a good approximation to the AdS-factor in the near horizon geometry AdS 2×S d2AdS_2\times S^{d-2} of near-extremal black holes in dd-dimensional spacetime (NSST18, MTV18).

Via the AdS/CFT-dual of JT-gravity (Almheiri-Polchinski 14) given by random matrix theory (Saad-Shenker-Stanford 19, Stanford-Witten 19) (or SYK model) this allows to compute genuine quantum gravity-aspects of near-extremal black holes, such as notable their microscopic black hole entropy. Computations are now under way…

Notice that near-extremal black holes have been observed in nature, by the Chandra telescope see eg here.

References

General

The theory is due to

See also

Further development:

  • Andreas Blommaert, Thomas G. Mertens, Henri Verschelde, Eigenbranes in Jackiw-Teitelboim gravity (arXiv:1911.11603)

AdS/CFT Holography

In AdS/CFT for AdS2/CFT1:

Relation to random matrix theory (via AdS/CFT and topological recursion):

Application to near-extremal near-horizons

Application to near horizon geometry of near-extremal black holes:

Lift to string/M-theory

Realization of JT-gravity as Kaluza-Klein reduction of D=6 supergravity on the worldvolume of D1-D5 brane bound states or M2-M5 brane bound states:

  • Yue-Zhou Li, Shou-Long Li, H. Lu, Exact Embeddings of JT Gravity in Strings and M-theory, Eur. Phys. J. C (2018) 78: 791 (arXiv:1804.09742)

  • Iosif Bena, Pierre Heidmann, David Turton, AdS 2AdS_2 Holography: Mind the Cap, JHEP 1812 (2018) 028 (arXiv:1806.02834)

In terms of weight systems on chord diagrams

Discussion of (Lie algebra-)weight systems on chord diagrams encoding JT gravity observables

(for more see at weight systems on chord diagrams in physics):

and similarly, under AdS2/CFT1, as correlators in the SYK model:

  • Antonio M. García-García, Yiyang Jia, Jacobus J. M. Verbaarschot, Exact moments of the Sachdev-Ye-Kitaev model up to order 1/N 21/N^2, JHEP 04 (2018) 146 (arXiv:1801.02696)

  • Micha Berkooz, Prithvi Narayan, Joan Simón, Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction, JHEP 08 (2018) 192 (arxiv:1806.04380)

following:

  • László Erdős, Dominik Schröder, Phase Transition in the Density of States of Quantum Spin Glasses, D. Math Phys Anal Geom (2014) 17: 9164 (arXiv:1407.1552)

which in turn follows

  • Philippe Flajolet, Marc Noy, Analytic Combinatorics of Chord Diagrams, pages 191–201 in Daniel Krob, Alexander A. Mikhalev,and Alexander V. Mikhalev, (eds.), Formal Power Series and Algebraic Combinatorics, Springer 2000 (doi:10.1007/978-3-662-04166-6_17)

With emphasis on holographic content:

  • Micha Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genis Torrents, Section 5 of: Towards a full solution of the large NN double-scaled SYK model, JHEP 03 (2019) 079 (arxiv:1811.02584)

  • Vladimir Narovlansky, Slide 23 (of 28) of: Towards a Solution of Large NN Double-Scaled SYK, 2019 (pdf)

Last revised on November 30, 2019 at 09:56:47. See the history of this page for a list of all contributions to it.