Nonperturbative random matrix model of <math display="inline"><mrow><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></mrow></math> JT supergravity - INSPIRE

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Nonperturbative random matrix model of $N = 2$ JT supergravity

Clifford V. Johnson
(
- UC, Santa Barbara
)

Jun 16, 2023

7 pages

Published in:

Phys.Rev.D 110 (2024) 10, 106019

Published: Nov 15, 2024

e-Print:

2306.10139 [hep-th]

DOI:

10.1103/PhysRevD.110.106019 (publication)

View in:

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Abstract: (APS)

It is shown how to nonperturbatively define a random matrix model that captures key physics of

N = 2

Jackiw-Teitelboim supergravity, going well beyond the perturbative topological expansion defined recently by Turiaci and Witten. A decomposition into an infinite family of certain multicritical models is derived, leading to the definition of a nonlinear ordinary differential equation from which the physics may be computed. Bogomol’nyi-Prasad-Sommerfield (BPS) states are naturally described by the model. The nonperturbative completions of the spectral densities for non-BPS multiplets are readily extracted.

Note:

4 main pages, 2 supplemental material pages, 4 figures, 1 trumpet (v3: Complete description in terms of component minimal models for all sectors achieved! New exact formulae presented.)

density: spectral
matrix model: random
expansion: topological
energy: threshold
stability: nonperturbative
differential equations: nonlinear
model: minimal
potential: nonperturbative
supergravity
capture

References(69)

Figures(6)

[1]

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

[1]

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

[2]

JT gravity as a matrix integral

e-Print:
- 1903.11115

[3]

Exactly Solvable Field Theories of Closed Strings

- Phys.Lett.B 236 (1990) 144-150,
- Also in *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 711-717
•
DOI:
- 10.1016/0370-2693(90)90818-Q

[3]

Strings in Less Than One-Dimension

- Nucl.Phys.B 335 (1990) 635,
•
DOI:
- 10.1016/0550-3213(90)90522-F

[3]

Nonperturbative Two-Dimensional Quantum Gravity

David J. Gross
(
- Princeton U.
)
,
Alexander A. Migdal
(
- Princeton U.
)

- Phys.Rev.Lett. 64 (1990) 127,
•
DOI:
- 10.1103/PhysRevLett.64.127

[3]

A Nonperturbative Treatment of Two-dimensional Quantum Gravity

David J. Gross
(
- Princeton U.
)
,
Alexander A. Migdal
(
- Princeton U.
)

- Nucl.Phys.B 340 (1990) 333-365,
•
DOI:
- 10.1016/0550-3213(90)90450-R

[4]

JT gravity and the ensembles of random matrix theory

- Adv.Theor.Math.Phys. 24 (2020) 6, 1475-1680
•
e-Print:
- 1907.03363
•
DOI:
- 10.4310/ATMP.2020.v24.n6.a4

[5]

Black holes and entropy

Jacob D. Bekenstein
(
- Princeton U. and
- Texas U.
)

- Phys.Rev.D 7 (1973) 2333-2346
•
DOI:
- 10.1103/PhysRevD.7.2333

[5]

Black Holes and Thermodynamics

S.W. Hawking
(
- Caltech and
- Cambridge U.
)

- Phys.Rev.D 13 (1976) 191-197
•
DOI:
- 10.1103/PhysRevD.13.191

[6]

Nonperturbative Jackiw-Teitelboim gravity

Clifford V. Johnson
(
- Southern California U.
)

- Phys.Rev.D 101 (2020) 10, 106023
•
e-Print:
- 1912.03637
•
DOI:
- 10.1103/PhysRevD.101.106023

[7]

Jackiw-Teitelboim supergravity, minimal strings, and matrix models

Clifford V. Johnson
(
- Southern California U.
)

- Phys.Rev.D 103 (2021) 4, 046012
•
e-Print:
- 2005.01893
•
DOI:
- 10.1103/PhysRevD.103.046012

[8]

Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity

Clifford V. Johnson
(
- Southern California U.
)

- Phys.Rev.D 103 (2021) 4, 046013
•
e-Print:
- 2006.10959
•
DOI:
- 10.1103/PhysRevD.103.046013

[9]

Low Energy Thermodynamics of JT Gravity and Supergravity

Clifford V. Johnson
(
- Southern California U.
)

e-Print:
- 2008.13120

[10]

Jackiw-Teitelboim supergravity as a double-cut matrix model

- Phys.Rev.D 104 (2021) 8, 086019
•
e-Print:
- 2102.02227
•
DOI:
- 10.1103/PhysRevD.104.086019

[11]

Celestial Matrix Model

Arjun Kar
(
- British Columbia U.
)
,
Lampros Lamprou
(
- British Columbia U.
)
,
Charles Marteau
(
- British Columbia U.
)
,
Felipe Rosso
(
- British Columbia U.
)

- Phys.Rev.Lett. 129 (2022) 20, 201601
•
e-Print:
- 2205.02240
•
DOI:
- 10.1103/PhysRevLett.129.201601

[11]

A Matrix Model for Flat Space Quantum Gravity

Arjun Kar
(
- British Columbia U.
)
,
Lampros Lamprou
(
- British Columbia U.
)
,
Charles Marteau
(
- British Columbia U.
)
,
Felipe Rosso
(
- British Columbia U.
)

- JHEP 03 (2023) 249
•
e-Print:
- 2208.05974
•
DOI:
- 10.1007/JHEP03(2023)249

[11]

A solvable model of flat space holography

Felipe Rosso
(
- British Columbia U.
)

- JHEP 02 (2023) 037
•
e-Print:
- 2209.14372
•
DOI:
- 10.1007/JHEP02(2023)037

[12]

A universe field theory for JT gravity

Boris Post
(
- Amsterdam U.
)
,
Jeremy van der Heijden
(
- Amsterdam U.
)
,
Erik Verlinde
(
- Amsterdam U.
)

- JHEP 05 (2022) 118
•
e-Print:
- 2201.08859
•
DOI:
- 10.1007/JHEP05(2022)118

[13]

Quantum Gravity Microstates from Fredholm Determinants

Clifford V. Johnson
(
- Southern California U. and
- USC, Los Angeles
)

- Phys.Rev.Lett. 127 (2021) 18, 181602
•
e-Print:
- 2106.09048
•
DOI:
- 10.1103/PhysRevLett.127.181602

[14]

The Microstate Physics of JT Gravity and Supergravity

Clifford V. Johnson
(
- Princeton U. and
- Southern California U.
)

e-Print:
- 2201.11942

[15]

$\mathcal{N}$ = 2 JT supergravity and matrix models

- JHEP 12 (2023) 003
•
e-Print:
- 2305.19438
•
DOI:
- 10.1007/JHEP12(2023)003

[16]

Stability of Classical Solutions

E.B. Bogomolny
(
- Landau Inst.
)

- Sov.J.Nucl.Phys. 24 (1976) 449,
- Yad.Fiz. 24 (1976) 861-870

[17]

An Exact Classical Solution for the 't Hooft Monopole and the Julia-Zee Dyon

M.K. Prasad
(
- Yale U.
)
,
Charles M. Sommerfield
(
- Yale U.
)

- Phys.Rev.Lett. 35 (1975) 760-762
•
DOI:
- 10.1103/PhysRevLett.35.760

[18]

Fermionic Localization of the Schwarzian Theory

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

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