T T ¯ in AdS 2 and quantum mechanics

Gross, David J.; Kruthoff, Jorrit; Rolph, Andrew; Shaghoulian, Edgar

doi:10.1103/PhysRevD.101.026011

Title: $T \bar{T}$ in ${AdS}_{2}$ and quantum mechanics

Abstract

Quantum field theory in zero spatial dimensions has a rich infrared landscape and a universal ultraviolet, inverting the usual Wilsonian paradigm. For holographic theories this implies a rich landscape of asymptotically AdS₂ geometries. Isolating the interiors of these spacetimes suggests a study of the analog of the $$T\bar{T}$$ deformation in quantum mechanics, which we pursue here. An equivalent description of this deformation in terms of coupling to worldline gravity is proposed, and applications to quantum-mechanical systems—including the Schwarzian theory—are studied.

Authors:

; Kruthoff, Jorrit;

;

Publication Date:: 2020-01-13

Research Org.:: Brandeis Univ., Waltham, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Dutch Ministry of Education, Culture and Science (OCW); National Science Foundation (NSF); Simons Foundation

OSTI Identifier:: 1582493

Alternate Identifier(s):: OSTI ID: 1801975

Grant/Contract Number:: SC0009987; NSF PHY-1748958; PHY-1316748; 488643; 1125915

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 2; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics

Citation Formats


                    Gross, David J., Kruthoff, Jorrit, Rolph, Andrew, and Shaghoulian, Edgar. T T ¯ in AdS 2 and quantum mechanics.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.101.026011.

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                    Gross, David J., Kruthoff, Jorrit, Rolph, Andrew, & Shaghoulian, Edgar. T T ¯ in AdS 2 and quantum mechanics.  United States.  https://doi.org/10.1103/PhysRevD.101.026011

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                    Gross, David J., Kruthoff, Jorrit, Rolph, Andrew, and Shaghoulian, Edgar. Mon .  
"T T ¯ in AdS 2 and quantum mechanics".  United States.  https://doi.org/10.1103/PhysRevD.101.026011.

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@article{osti_1582493,

  title        = {T T ¯ in AdS 2 and quantum mechanics},

  author       = {Gross, David J. and Kruthoff, Jorrit and Rolph, Andrew and Shaghoulian, Edgar},

  abstractNote = {Quantum field theory in zero spatial dimensions has a rich infrared landscape and a universal ultraviolet, inverting the usual Wilsonian paradigm. For holographic theories this implies a rich landscape of asymptotically AdS2 geometries. Isolating the interiors of these spacetimes suggests a study of the analog of the $T\bar{T}$ deformation in quantum mechanics, which we pursue here. An equivalent description of this deformation in terms of coupling to worldline gravity is proposed, and applications to quantum-mechanical systems—including the Schwarzian theory—are studied.},

  doi          = {10.1103/PhysRevD.101.026011},

  journal      = {Physical Review D},

  number       = 2,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {1}

}

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Title: T T ¯ in AdS 2 and quantum mechanics

Abstract

Citation Formats

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories journal, October 2016

Ostrogradsky's theorem on Hamiltonian instability journal, January 2015

An investigation of AdS2 backreaction and holography journal, July 2016

Conformal symmetry breaking and thermodynamics of near-extremal black holes journal, October 2016

Lower dimensional gravity journal, January 1985

T T ¯ $$ T\overline{T} $$ partition function from topological gravity journal, September 2018

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ and LST journal, July 2017

T T ¯ $$ T\overline{T} $$ -deformations in closed form journal, June 2018

Chaos in AdS 2 Holography journal, September 2016

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

T T ¯ $$ T\overline{T} $$ -deformations, AdS/CFT and correlation functions journal, February 2018

dS/dS and T T ¯ $$ T\overline{T} $$ journal, March 2019

On T T ¯ $$ T\overline{T} $$ deformations and supersymmetry journal, June 2019

Asymptotic fragility, near AdS2 holography and T T ¯ $$ T\overline{T} $$ journal, September 2017

Statistical mechanics of a two-dimensional black hole journal, May 2019

Infrared realization of dS 2 in AdS 2 journal, March 2018

Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$ journal, April 2018

Evanescent black holes journal, February 1992

Entanglement beyond AdS journal, October 2018

Thermodynamics of black holes in two (and higher) dimensions journal, April 2007

A solvable irrelevant deformation of AdS3/CFT2 journal, December 2017

Generalised Born-Infeld models, Lax operators and the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation journal, November 2018

Holography Beyond AdS journal, July 2018

Holographic description of AdS 2 black holes journal, November 2008

T T ¯ deformations with N = ( 0 , 2 ) supersymmetry journal, August 2019

De Sitter horizons & holographic liquids journal, July 2019

Holography at finite cutoff with a T2 deformation journal, March 2019

On space of integrable quantum field theories journal, February 2017

Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations journal, April 2019

A Stress Tensor for Anti-de Sitter Gravity journal, December 1999

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

Fermionic localization of the schwarzian theory journal, October 2017

The quantum gravity dynamics of near extremal black holes journal, May 2019

Title: $T \bar{T}$ in ${AdS}_{2}$ and quantum mechanics

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories
journal, October 2016

Ostrogradsky's theorem on Hamiltonian instability
journal, January 2015

An investigation of AdS2 backreaction and holography
journal, July 2016

Conformal symmetry breaking and thermodynamics of near-extremal black holes
journal, October 2016

Lower dimensional gravity
journal, January 1985

T T ¯ $$ T\overline{T} $$ partition function from topological gravity
journal, September 2018

T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ and LST
journal, July 2017

T T ¯ $$ T\overline{T} $$ -deformations in closed form
journal, June 2018

Chaos in ${AdS}_{2}$ Holography
journal, September 2016

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

T T ¯ $$ T\overline{T} $$ -deformations, AdS/CFT and correlation functions
journal, February 2018

dS/dS and T T ¯ $$ T\overline{T} $$
journal, March 2019

On T T ¯ $$ T\overline{T} $$ deformations and supersymmetry
journal, June 2019

Asymptotic fragility, near AdS2 holography and T T ¯ $$ T\overline{T} $$
journal, September 2017

Statistical mechanics of a two-dimensional black hole
journal, May 2019

Infrared realization of dS 2 in AdS 2
journal, March 2018

Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$
journal, April 2018

Evanescent black holes
journal, February 1992

Entanglement beyond AdS
journal, October 2018

Thermodynamics of black holes in two (and higher) dimensions
journal, April 2007

A solvable irrelevant deformation of AdS3/CFT2
journal, December 2017

Generalised Born-Infeld models, Lax operators and the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation
journal, November 2018

Holography Beyond AdS
journal, July 2018

Holographic description of AdS ₂ black holes
journal, November 2008

T T ¯ deformations with N = ( 0 , 2 ) supersymmetry
journal, August 2019

De Sitter horizons & holographic liquids
journal, July 2019

Holography at finite cutoff with a T2 deformation
journal, March 2019

On space of integrable quantum field theories
journal, February 2017

Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations
journal, April 2019

A Stress Tensor for Anti-de Sitter Gravity
journal, December 1999

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

Fermionic localization of the schwarzian theory
journal, October 2017

The quantum gravity dynamics of near extremal black holes
journal, May 2019