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New boundary conditions for AdS $_{2}$

May 18, 2020

65 pages

Published in:

JHEP 12 (2020) 020

Published: 2020

e-Print:

2005.08999 [hep-th]

DOI:

10.1007/JHEP12(2020)020

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Abstract: (Springer)

We describe new boundary conditions for AdS

_{2}

in Jackiw-Teitelboim gravity. The asymptotic symmetry group is enhanced to Diff(S

^{1}

) ⋉ C

^{∞}

(S

^{1}

) whose breaking to SL(2, ℝ) × U(1) controls the near-AdS

_{2}

dynamics. The action reduces to a boundary term which is a generalization of the Schwarzian theory and can be interpreted as the coadjoint action of the warped Virasoro group. This theory reproduces the low-energy effective action of the complex SYK model. We compute the Euclidean path integral and derive its relation to the random matrix ensemble of Saad, Shenker and Stanford. We study the flat space version of this action, and show that the corresponding path integral also gives an ensemble average, but of a much simpler nature. We explore some applications to near-extremal black holes.

Note:

71 pages, 4 figures, v2: published version

2D Gravity
AdS-CFT Correspondence
Black Holes
path integral: Euclidean
duality: holography
group: Virasoro
matrix model: random
boundary condition
space: anti-de Sitter
gravitation

References(97)

Figures(5)

[1]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[2]

N=2 extremal black holes

Sergio Ferrara
(
- CERN
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)
,
Andrew Strominger
(
- UC, Santa Barbara
)

- Phys.Rev.D 52 (1995) R5412-R5416
•
e-Print:
- hep-th/9508072
•
DOI:
- 10.1103/PhysRevD.52.R5412

[3]

Supersymmetry and attractors

Sergio Ferrara
(
- CERN and
- UCLA
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 54 (1996) 1514-1524
•
e-Print:
- hep-th/9602136
•
DOI:
- 10.1103/PhysRevD.54.1514

[4]

Universality of supersymmetric attractors

Sergio Ferrara
(
- CERN
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 54 (1996) 1525-1534
•
e-Print:
- hep-th/9603090
•
DOI:
- 10.1103/PhysRevD.54.1525

[5]

Rotating attractors

Dumitru Astefanesei
(
- Harish-Chandra Res. Inst.
)
,
Kevin Goldstein
(
- Tata Inst.
)
,
Rudra P. Jena
(
- Tata Inst.
)
,
Ashoke Sen
(
- Harish-Chandra Res. Inst.
)
,
Sandip P. Trivedi
(
- Tata Inst.
)

- JHEP 10 (2006) 058
•
e-Print:
- hep-th/0606244
•
DOI:
- 10.1088/1126-6708/2006/10/058

[6]

Near-horizon symmetries of extremal black holes

Hari K. Kunduri
(
- Nottingham U.
)
,
James Lucietti
(
- Durham U., Dept. of Math.
)
,
Harvey S. Reall
(
- Nottingham U.
)

- Class.Quant.Grav. 24 (2007) 4169-4190
•
e-Print:
- 0705.4214
•
DOI:
- 10.1088/0264-9381/24/16/012

[7]

Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes

- Class.Quant.Grav. 26 (2009) 055019
•
e-Print:
- 0812.1576
•
DOI:
- 10.1088/0264-9381/26/5/055019

[8]

Classification of near-horizon geometries of extremal black holes

- Living Rev.Rel. 16 (2013) 8
•
e-Print:
- 1306.2517
•
DOI:
- 10.12942/lrr-2013-8

[9]

Black hole entropy from near horizon microstates

Andrew Strominger
(
- Harvard U.
)

- JHEP 02 (1998) 009
•
e-Print:
- hep-th/9712251
•
DOI:
- 10.1088/1126-6708/1998/02/009

[10]

AdS(3) black holes and a stringy exclusion principle

Juan Martin Maldacena
(
- Harvard U.
)
,
Andrew Strominger
(
- Harvard U.
)

- JHEP 12 (1998) 005
•
e-Print:
- hep-th/9804085
•
DOI:
- 10.1088/1126-6708/1998/12/005

[11]

AdS(2) quantum gravity and string theory

Andrew Strominger
(
- Harvard U.
)

- JHEP 01 (1999) 007
•
e-Print:
- hep-th/9809027
•
DOI:
- 10.1088/1126-6708/1999/01/007

[12]

Entropy Function and AdS(2) / CFT(1) Correspondence

Ashoke Sen
(
- Harish-Chandra Res. Inst.
)

- JHEP 11 (2008) 075
•
e-Print:
- 0805.0095
•
DOI:
- 10.1088/1126-6708/2008/11/075

[13]

Quantum Entropy Function from AdS(2)/CFT(1) Correspondence

Ashoke Sen
(
- Harish-Chandra Res. Inst.
)

- Int.J.Mod.Phys.A 24 (2009) 4225-4244
•
e-Print:
- 0809.3304
•
DOI:
- 10.1142/S0217751X09045893

[14]

Anti-de Sitter fragmentation

Juan Martin Maldacena
(
- Harvard U.
)
,
Jeremy Michelson
(
- UC, Santa Barbara and
- Harvard U.
)
,
Andrew Strominger
(
- Harvard U.
)

- JHEP 02 (1999) 011
•
e-Print:
- hep-th/9812073
•
DOI:
- 10.1088/1126-6708/1999/02/011

[15]

Models of AdS $_{2}$ backreaction and holography

Ahmed Almheiri
(
- UC, Santa Barbara and
- Stanford U.
)
,
Joseph Polchinski
(
- Santa Barbara, KITP
)

- JHEP 11 (2015) 014
•
e-Print:
- 1402.6334
•
DOI:
- 10.1007/JHEP11(2015)014

[16]

Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

- PTEP 2016 (2016) 12, 12C104
•
e-Print:
- 1606.01857
•
DOI:
- 10.1093/ptep/ptw124

[17]

Chaos in AdS $_2$ Holography

Kristan Jensen
(
- San Francisco State U.
)

- Phys.Rev.Lett. 117 (2016) 11, 111601
•
e-Print:
- 1605.06098
•
DOI:
- 10.1103/PhysRevLett.117.111601

[18]

An investigation of AdS $_{2}$ backreaction and holography

Julius Engelsöy
(
- Royal Inst. Tech., Stockholm and
- Princeton U.
)
,
Thomas G. Mertens
(
- Princeton U.
)
,
Herman Verlinde
(
- Princeton U.
)

- JHEP 07 (2016) 139
•
e-Print:
- 1606.03438
•
DOI:
- 10.1007/JHEP07(2016)139

[19]

Remarks on the Sachdev-Ye-Kitaev model

- Phys.Rev.D 94 (2016) 10, 106002
•
e-Print:
- 1604.07818
•
DOI:
- 10.1103/PhysRevD.94.106002

[20]

Lower Dimensional Gravity

R. Jackiw
(
- MIT, LNS
)

- Nucl.Phys.B 252 (1985) 343-356,
- Bielefeld Symp.Phase Tr.1984:343,
- Bielefeld Symp.Phase Tr.1984:343
•
DOI:
- 10.1016/0550-3213(85)90448-1

[21]

Gravitation and Hamiltonian Structure in Two Space-Time Dimensions

C. Teitelboim
(
- Texas U.
)

- Phys.Lett.B 126 (1983) 41-45
•
DOI:
- 10.1016/0370-2693(83)90012-6

[22]

Gapless spin fluid ground state in a random, quantum Heisenberg magnet

Subir Sachdev
(
- Yale U.
)
,
Jinwu Ye
(
- Yale U.
)

- Phys.Rev.Lett. 70 (1993) 3339
•
e-Print:
- cond-mat/9212030
•
DOI:
- 10.1103/PhysRevLett.70.3339

[23]

A simple model of quantum holography (part 1), talk at KITP / University of California, Santa Barbara, CA, U.S.A., 7 April

A. Kitaev

[24]

A simple model of quantum holography (part 2), talk at KITP / University of California, Santa Barbara, CA, U.S.A., 27 May

A. Kitaev

[25]

Fermionic Localization of the Schwarzian Theory

- JHEP 10 (2017) 008
•
e-Print:
- 1703.04612
•
DOI:
- 10.1007/JHEP10(2017)008

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