black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
JT-gravity (Teitelboim 83, Jackiw 85) is gravity in 1+1 dimensions with a dilaton.
JT-gravity gives a good approximation to the AdS-factor in the near horizon geometry of near-extremal black holes in -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.
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
Further development:
Via twistors:
Discussion of the SYK-model as the AdS/CFT dual of JT-gravity in nearly AdS2/CFT1 and AdS-CFT in condensed matter physics:
Original articles:
Juan Maldacena, Douglas Stanford, Comments on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94, 106002 (2016)(arXiv:1604.07818)
Subir Sachdev, Holographic metals and the fractionalized Fermi liquid, Phys. Rev. Lett. 105:151602, 2010 (arXiv:1006.3794)
Review:
Gábor Sárosi, holography and the SYK model, Proceedings of Science 323 (arXiv:1711.08482, doi:10.22323/1.323.0001)
Juan Maldacena, Toy models for black holes II, talk at PiTP 2018 From QBits to spacetime (recording)
Dmitrii A. Trunin, Pedagogical introduction to SYK model and 2D Dilaton Gravity (arXiv:2002.12187)
Relation to black holes in string theory and random matrix theory:
Jordan S. Cotler, Guy Gur-Ari, Masanori Hanada, Joseph Polchinski, Phil Saad, Stephen Shenker, Douglas Stanford, Alexandre Streicher, Masaki Tezuka, Black Holes and Random Matrices, JHEP 1705:118, 2017 (arXiv:1611.04650)
Tomoki Nosaka, Tokiro Numasawa, Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model (arXiv:1912.12302)
See also
Yuri D. Lensky, Xiao-Liang Qi, Pengfei Zhang, Size of bulk fermions in the SYK model (arXiv:2002.01961)
Xiao-Liang Qi, Pengfei Zhang, The Coupled SYK model at Finite Temperature (arXiv:2003.03916)
Akash Goel, Herman Verlinde, Towards a String Dual of SYK (arXiv:2103.03187)
Discussion of small N corrections via a lattice QFT-Ansatz on the AdS side:
See also:
On Jackiw-Teitelboim gravity dual to random matrix theory (via AdS2/CFT1 and topological recursion):
Ahmed Almheiri, Joseph Polchinski, Models of Backreaction and Holography, J. High Energ. Phys. (2015) 2015: 14. (arXiv:1402.6334)
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)
On AdS2/CFT1 with the BFSS matrix model on the CFT side and black hole-like solutions in type IIA supergravity on the AdS side:
and on its analog of holographic entanglement entropy:
See also
On D1-D3 brane intersections in AdS2/CFT1:
Via T-duality from D6-D8 brane intersections:
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)
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, Holography: Mind the Cap, JHEP 1812 (2018) 028 (arXiv:1806.02834)
Giuseppe Dibitetto, Nicolò Petri, solutions and their massive IIA origin, JHEP 05 (2019) 107 (arXiv:1811.11572)
Junho Hong, Niall Macpherson, Leopoldo A. Pando Zayas, Aspects of classification in M-theory: Solutions with mesonic and baryonic charges, JHEP 11 (2019) 127 (arXiv:1908.08518)
Discussion of (Lie algebra-)weight systems on chord diagrams encoding JT gravity observables
(for more see at weight systems on chord diagrams in physics):
Andreas Blommaert, Thomas Mertens, Henri Verschelde, The Schwarzian Theory - A Wilson Line Perspective, JHEP 1812 (2018) 022 (arXiv:1806.07765)
Andreas Blommaert, Thomas Mertens, Henri Verschelde, Fine Structure of Jackiw-Teitelboim Quantum Gravity, JHEP 1909 (2019) 066 (arXiv:1812.00918)
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 , 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:
which in turn follows
With emphasis on holographic content:
Micha Berkooz, Mikhail Isachenkov, Vladimir Narovlansky, Genis Torrents, Section 5 of: Towards a full solution of the large double-scaled SYK model, JHEP 03 (2019) 079 (arxiv:1811.02584)
Vladimir Narovlansky, Slide 23 (of 28) of: Towards a Solution of Large Double-Scaled SYK, 2019 (pdf)
Last revised on January 11, 2021 at 00:29:00. See the history of this page for a list of all contributions to it.