Field Theory of Interacting Boundary Gravitons

Ebert, Stephen; Hijano, Eliot; Kraus, Per; Monten, Ruben; Myers, R

doi:10.48550/arxiv.2201.01780

Cited by 3 publications

(3 citation statements)

References 56 publications

(75 reference statements)

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“…Other quantities in the deformed theory -such as the torus partition function [36][37][38], the flat space S-matrix [39,40], torus one-point functions [41], and (to some degree) correlation functions [42][43][44][45][46][47][48][49][50][51][52] -can also be related to quantities in the undeformed theory. One interesting consequence of these results is that the high-energy density of states in a T Tdeformed theory follows Hagedorn rather than Cardy growth, which means that it cannot be a local quantum field theory and instead shares some properties with string theories.…”

Section: Jhep08(2022)121mentioning

confidence: 99%

$$ T\overline{T} $$ deformations of supersymmetric quantum mechanics

Ebert

Ferko

Sun

et al. 2022

J. High Energ. Phys.

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We define a manifestly supersymmetric version of the $$ T\overline{T} $$ T T ¯ deformation appropriate for a class of (0 + 1)-dimensional theories with $$ \mathcal{N} $$ N = 1 or $$ \mathcal{N} $$ N = 2 supersymmetry, including one presentation of the super-Schwarzian theory which is dual to JT supergravity. These deformations are written in terms of Noether currents associated with translations in superspace, so we refer to them collectively as f($$ \mathcal{Q} $$ Q ) deformations. We provide evidence that the f($$ \mathcal{Q} $$ Q )) deformations of $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 2 theories are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of 2d theories with $$ \mathcal{N} $$ N = (0, 1) and $$ \mathcal{N} $$ N = (1, 1) supersymmetry, respectively. In the $$ \mathcal{N} $$ N = 1 case, we present two forms of the f($$ \mathcal{Q} $$ Q ) deformation which drive the same flow, and clarify their equivalence by studying the analogous equivalent deformations in the non-supersymmetric setting.

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Section: Jhep08(2022)121mentioning

confidence: 99%

$$ T\overline{T} $$ deformations of supersymmetric quantum mechanics

Ebert

Ferko

Sun

et al. 2022

J. High Energ. Phys.

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“…The first study of probing holographic systems under the T T deformation was initiated by [18] in AdS 3 gravity and inspired several follow-up investigations which computed partition functions and correlators of the gravitational and boundary field theory [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35], improving the T T -deformed holographic correspondence. More specifically, through the lens of the T T deformation, it is interesting to probe observables between JT gravity and its double-scaled matrix model dual description at a finite cutoff governed by λ, as done in [36][37][38][39][40][41].…”

Section: Jhep08(2022)026mentioning

confidence: 99%

$$ T\overline{T} $$-deformed free energy of the Airy model

Ebert

Sun

2022

J. High Energ. Phys.

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Sharpening the correspondence of Jackiw-Teitelboim (JT) gravity and its dual matrix model description at a finite radial cutoff λ through the $$ T\overline{T} $$ T T ¯ deformation is of interest. To proceed, we simplify the problem by considering the Airy model and deform Airy correlators in the same way as in $$ T\overline{T} $$ T T ¯ -deformed JT gravity. We use those correlators to compute the annealed and quenched free energies for both λ > 0 and λ < 0 from an integral representation of the replica trick. At the leading order in λ and low temperatures, we confirm that the genus-zero quenched free energy monotonically decreases as a function of temperature when perturbation theory is valid. We then study the all-genus quenched free energy at low temperatures, where we discover and discuss subtleties due to non-perturbative effects in the Airy model, as well as the contributions from the non-perturbative branch under the $$ T\overline{T} $$ T T ¯ deformation.

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“…The first study of probing holographic systems under the T T deformation was initiated by [17] in AdS 3 gravity and inspired several follow-up investigations which computed partition functions and correlators of the gravitational and boundary field theory [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34], improving the T T -deformed holographic correspondence. More specifically, through the lens of the T T deformation, it is interesting to probe observables between JT gravity and its double-scaled matrix model dual description at a finite cutoff governed by λ, as done in [35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

$T\overline{T}$-deformed free energy of the Airy model

Ebert¹,

Sun²,

Sun³

2022

Preprint

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Sharpening the holographic correspondence of Jackiw-Teitelboim (JT) gravity and its dual matrix model description at a finite radial cutoff λ through the T T deformation is of interest. To proceed, we simplify the problem by considering the Airy model and deform Airy correlators in the same way as in T T -deformed JT gravity. We use those correlators to compute the annealed and quenched free energies for both λ > 0 and λ < 0 from an integral representation of the replica trick. At the leading order in λ and low temperatures, we confirm that the genus-zero quenched free energy monotonically decreases as a function of temperature when perturbation theory is valid. We then study the allgenus quenched free energy at low temperatures, where we discover and discuss subtleties due to non-perturbative effects in the Airy model, as well as the contributions from the non-perturbative branch under the T T deformation.

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Field Theory of Interacting Boundary Gravitons

Cited by 3 publications

References 56 publications

$$ T\overline{T} $$ deformations of supersymmetric quantum mechanics

$$ T\overline{T} $$ deformations of supersymmetric quantum mechanics

$$ T\overline{T} $$-deformed free energy of the Airy model

$T\overline{T}$-deformed free energy of the Airy model

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