nLab
nearly AdS2/CFT1

Idea

The special case of AdS/CFT duality in dimensions 2/1.

References

General

General aspects of nearly AdS2-CFT1 (JT-gravity/matrix models):

• Juan Maldacena, Douglas Stanford, Zhenbin Yang, Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space (arXiv:1606.01857)

SYK-model in $AdS_2/CFT_1$

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, $AdS_2$ 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 terms of Majorana dimer states:

• Ioanna Kourkoulou, Juan Maldacena, Pure states in the SYK model and nearly-$AdS_2$ gravity (arXiv:1707.02325)

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:

• Richard C. Brower, Cameron V. Cogburn, A. Liam Fitzpatrick, Dean Howarth, Chung-I Tan, Lattice Setup for Quantum Field Theory in $AdS_2$ (arXiv:1912.07606)

See also:

• Gregory J. Galloway, Melanie Graf, Eric Ling, A conformal infinity approach to asymptotically $AdS_2 \times S^{n-1}$ spacetimes (arXiv:2003.00093)

Random matrix theory in $AdS_2/CFT_1$

On Jackiw-Teitelboim gravity dual to random matrix theory (via AdS2/CFT1 and topological recursion):

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

• CGHSS 16

• 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)

BFSS matrix model in $AdS_2/CFT_1$

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:

• Juan Maldacena, Alexey Milekhin, To gauge or not to gauge?, JHEP 04 (2018) 084 (arxiv:1802.00428)

and on its analog of holographic entanglement entropy:

• Tarek Anous, Joanna L. Karczmarek, Eric Mintun, Mark Van Raamsdonk, Benson Way, Areas and entropies in BFSS/gravity duality (arXiv:1911.11145)

See also

• Takeshi Morita, Hiroki Yoshida, A Critical Dimension in One-dimensional Large-N Reduced Models (arXiv:2001.02109)

D1-D3 brane intersections in $AdS_2/CFT_1$

On D1-D3 brane intersections in AdS2/CFT1:

• Giuseppe Dibitetto, Yolanda Lozano, Nicolò Petri, Anayeli Ramirez, Holographic Description of M-branes via $AdS_2$ (arXiv:1912.09932)

Via T-duality from D6-D8 brane intersections:

• Yolanda Lozano, Carlos Nunez, Anayeli Ramirez, Stefano Speziali, New $AdS_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics (arXiv:2011.00005)