nLab
Jackiw-Teitelboim gravity

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 $AdS_2\times S^{d-2}$ of near-extremal black holes in $d$-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) 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.

Related concepts

• Liouville theory

References

General

The theory is due to

• Claudio Teitelboim, Gravitation and hamiltonian structure in two spacetime dimensions, Physics Letters B Volume 126, Issues 1–2, 23 June 1983, Pages 41-45 (doi:10.1016/0370-2693(83)90012-6

• Roman Jackiw, Lower dimensional gravity, Nuclear Physics B

  Volume 252, 1985, Pages 343-356 (doi:10.1016/0550-3213(85)90448-1)

See also

• Wikipedia, Jackiw-Teitelboim gravity

AdS/CFT Holography

In AdS/CFT For $AdS_2/CFT_1$:

• Ahmed Almheiri, Joseph Polchinski, Models of $AdS_2$ Backreaction and Holography, J. High Energ. Phys. (2015) 2015: 14. (arXiv:1402.6334)

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

• Phil Saad, Stephen Shenker, Douglas Stanford, JT gravity as a matrix integral (arXiv:1903.11115)

• Douglas Stanford, Edward Witten, JT Gravity and the Ensembles of Random Matrix Theory (arXiv:1907.03363)

Application to near-extremal near-horizons

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

• Pranjal Nayak, Ashish Shukla, Ronak M Soni, Sandip Trivedi, V. Vishal, On the Dynamics of Near-Extremal Black Holes (arXiv:1802.09547)

• Upamanyu Moitra, Sandip Trivedi, V. Vishal, Near-Extremal Near-Horizons (arXiv:1808.08239)