Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity

Johnson, Clifford V.

doi:10.1103/PhysRevD.103.046013

Title: Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity

Abstract

Some recently proposed definitions of Jackiw-Teitelboim (JT) gravity and supergravities in terms of combinations of minimal string models are explored, with a focus on physics beyond the perturbative expansion in spacetime topology. While this formally involves solving infinite-order nonlinear differential equations, it is shown that the physics can be extracted to arbitrarily high accuracy in a simple controlled truncation scheme, using a combination of analytical and numerical methods. The nonperturbative spectral densities are explicitly computed and exhibited. The full spectral form factors, involving crucial nonperturbative contributions from wormhole geometries, are also computed and displayed, showing the nonperturbative details of the characteristic “slope,” “dip,” “ramp,” and “plateau” features. It is emphasized that results of this kind can most likely be readily extracted for other types of JT gravity using the same methods.

Authors:: Johnson, Clifford V.

Publication Date:: Fri Feb 19 00:00:00 EST 2021

Research Org.:: Univ. of Southern California, Los Angeles, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1766366

Alternate Identifier(s):: OSTI ID: 1851522

Grant/Contract Number:: SC 0011687; SC0011687

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 103 Journal Issue: 4; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; physics; quantum aspects of black holes; gravitation; quantum gravity; field and string theory models and techniques

Citation Formats


                    Johnson, Clifford V. Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.103.046013.

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                    Johnson, Clifford V. Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity.  United States.  https://doi.org/10.1103/PhysRevD.103.046013

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                    Johnson, Clifford V. Fri .  
"Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity".  United States.  https://doi.org/10.1103/PhysRevD.103.046013.

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@article{osti_1766366,

  title        = {Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity},

  author       = {Johnson, Clifford V.},

  abstractNote = {Some recently proposed definitions of Jackiw-Teitelboim (JT) gravity and supergravities in terms of combinations of minimal string models are explored, with a focus on physics beyond the perturbative expansion in spacetime topology. While this formally involves solving infinite-order nonlinear differential equations, it is shown that the physics can be extracted to arbitrarily high accuracy in a simple controlled truncation scheme, using a combination of analytical and numerical methods. The nonperturbative spectral densities are explicitly computed and exhibited. The full spectral form factors, involving crucial nonperturbative contributions from wormhole geometries, are also computed and displayed, showing the nonperturbative details of the characteristic “slope,” “dip,” “ramp,” and “plateau” features. It is emphasized that results of this kind can most likely be readily extracted for other types of JT gravity using the same methods.},

  doi          = {10.1103/PhysRevD.103.046013},

  journal      = {Physical Review D},

  number       = 4,

  volume       = 103,

  place        = {United States},

  year         = {Fri Feb 19 00:00:00 EST 2021},

  month        = {Fri Feb 19 00:00:00 EST 2021}

}

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Title: Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity

Abstract

Citation Formats

Liouville theory and matrix models: a Wheeler DeWitt perspective journal, September 2020

Non-perturbative two-dimensional quantum gravity journal, January 1992

Bäcklund transformations, D-branes and fluxes in minimal type 0 strings journal, September 2007

Unitary and Complex Matrix Models as 1-d Type 0 Strings journal, September 2004

Eternal black holes in anti-de Sitter journal, April 2003

Asymptotic Behaviour of the Resolvent of Sturm-Liouville Equations and the Algebra of the Korteweg-De Vries Equations journal, October 1975

Relating black holes in two and three dimensions journal, October 1993

Global KdV flows and stable 2D quantum gravity journal, September 1992

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Supersymmetric SYK model and random matrix theory journal, June 2017

Geometry of the string equations journal, October 1990

The Appearance of Matter Fields from Quantum Fluctuations of 2d-Gravity journal, October 1989

Microscopic and macroscopic loops in non-perturbative two dimensional gravity journal, April 1990

Exactly solvable field theory of D=0 closed and open strings journal, April 1990

Quantum evolution of near-extremal Reissner–Nordström black holes journal, February 2001

Unitary Matrix Models and 2d Quantum Gravity journal, September 1992

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space journal, November 2016

Minimal string theory journal, March 2005

Nonperturbative Jackiw-Teitelboim gravity journal, May 2020

Matrix Models of 2D Gravity and Isomonodromic Deformation journal, March 1990

Local Operators in the Eternal Black Hole journal, November 2015

Flow and instability in quantum gravity journal, July 1990

Non-perturbative two-dimensional quantum gravity, again journal, January 1992

Lower dimensional gravity journal, January 1985

Jackiw-Teitelboim supergravity, minimal strings, and matrix models journal, February 2021

Nonperturbative two-dimensional quantum gravity journal, January 1990

Matrix Numerov method for solving Schrödinger’s equation journal, November 2012

Multicritical complex matrix models and non-perturbative two-dimensional quantum gravity journal, January 1992

Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model journal, December 2016

Complete random matrix classification of SYK models with N $$ \mathcal{N} $$ = 0, 1 and 2 supersymmetry journal, September 2017

Hamiltonian deformations in quantum mechanics, T T ¯ , and the SYK model journal, August 2020

Supersymmetric Sachdev-Ye-Kitaev models journal, January 2017

Gravitation and hamiltonian structure in two spacetime dimensions journal, June 1983

Exactly solvable field theories of closed strings journal, February 1990

Nearly AdS2 sugra and the super-Schwarzian journal, August 2017

Instability of even m multicritical matrix models of 2D gravity journal, January 1991

Ad S 2 dilaton gravity from reductions of some nonrelativistic theories journal, August 2018

Strings in less than one dimension and the generalized KdV hierarchies journal, April 1990

Strings in less than one dimension journal, May 1990

Tachyon Condensation, Open-Closed Duality, Resolvents, and Minimal Bosonic and Type 0 Strings journal, December 2004

Periodic Table of the Ordinary and Supersymmetric Sachdev-Ye-Kitaev Models journal, June 2020

A universal Schwarzian sector in two-dimensional conformal field theories journal, May 2020

A nonperturbative treatment of two-dimensional quantum gravity journal, August 1990

T T ¯ in AdS 2 and quantum mechanics journal, January 2020

Chequered surfaces and complex matrices journal, June 1991

Erratum to: Black holes and random matrices journal, September 2018

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Multi-boundary correlators in JT gravity journal, August 2020

JT gravity, KdV equations and macroscopic loop operators journal, January 2020

Loop Equations and Non-Perturbative Effects in Two-Dimensional Quantum Gravity journal, May 1990

Spectral form factors and late time quantum chaos journal, October 2018

Liouville theory and matrix models: a Wheeler DeWitt perspective
journal, September 2020

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journal, January 1992

Bäcklund transformations, D-branes and fluxes in minimal type 0 strings
journal, September 2007

Unitary and Complex Matrix Models as 1-d Type 0 Strings
journal, September 2004

Eternal black holes in anti-de Sitter
journal, April 2003

Asymptotic Behaviour of the Resolvent of Sturm-Liouville Equations and the Algebra of the Korteweg-De Vries Equations
journal, October 1975

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journal, October 1993

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journal, June 1998

Supersymmetric SYK model and random matrix theory
journal, June 2017

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journal, October 1989

Microscopic and macroscopic loops in non-perturbative two dimensional gravity
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journal, April 1990

Quantum evolution of near-extremal Reissner–Nordström black holes
journal, February 2001

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journal, September 1992

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journal, November 2016

Minimal string theory
journal, March 2005

Nonperturbative Jackiw-Teitelboim gravity
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Matrix Numerov method for solving Schrödinger’s equation
journal, November 2012

Multicritical complex matrix models and non-perturbative two-dimensional quantum gravity
journal, January 1992

Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
journal, December 2016

Complete random matrix classification of SYK models with N $$ \mathcal{N} $$ = 0, 1 and 2 supersymmetry
journal, September 2017

Hamiltonian deformations in quantum mechanics, $T \bar{T}$ , and the SYK model
journal, August 2020

Supersymmetric Sachdev-Ye-Kitaev models
journal, January 2017

Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983

Exactly solvable field theories of closed strings
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Nearly AdS2 sugra and the super-Schwarzian
journal, August 2017

Instability of even m multicritical matrix models of 2D gravity
journal, January 1991

${Ad S}_{2}$ dilaton gravity from reductions of some nonrelativistic theories
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journal, April 1990

Strings in less than one dimension
journal, May 1990

Tachyon Condensation, Open-Closed Duality, Resolvents, and Minimal Bosonic and Type 0 Strings
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Periodic Table of the Ordinary and Supersymmetric Sachdev-Ye-Kitaev Models
journal, June 2020

A universal Schwarzian sector in two-dimensional conformal field theories
journal, May 2020

A nonperturbative treatment of two-dimensional quantum gravity
journal, August 1990

$T \bar{T}$ in ${AdS}_{2}$ and quantum mechanics
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Chequered surfaces and complex matrices
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Erratum to: Black holes and random matrices
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Chaos and random matrices in supersymmetric SYK
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journal, May 1990

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