The Microstate Physics of JT Gravity and Supergravity

Johnson, Clifford V.

doi:10.48550/arxiv.2201.11942

Cited by 19 publications

(45 citation statements)

References 117 publications

(315 reference statements)

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“…Additionally, it is also likely that the divergence is caused by the non-perturbative instability suffered from the Airy model. There have been works on how to improve the non-perturbative feature of JT gravity to remove this undesired feature [11,14,[56][57][58][59][60]71]. An interesting extension of our work is to study the deformed JT gravity at general temperatures and see if the same divergence we found in the Airy model appears as well as check if the non-perturbative instability would affect the quenched free energy qualitatively.…”

Section: Discussionmentioning

confidence: 61%

$T\overline{T}$-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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Section: Discussionmentioning

confidence: 61%

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

Ebert¹,

Sun²,

Sun³

2022

Preprint

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“…There are several ways to confirm that the clock behavior (5.28) is respected in this double scaled 25 The spectrum being given by the zero's of the Baker-Akhiezer functions also appeared in a recent work by Clifford Johnson [44] (based on his earlier work [47][48][49]). There it was noted that this spectrum is naturally embedded in the matrix integral by studying the probability distribution of the first, second, etc.…”

Section: Quantum Mechanical Dual Of Canonical Jt Gravitymentioning

confidence: 59%

“…where L − n becomes proportional to a rescaled version of the (now continuous) coordinate x, and λ has been scaled towards the edge, furthermore we left out prefactors for comfort. For large e S 0 , which replaces L upon double scaling, we have the following approximation for the Baker-Akhiezer functions (up to normalization that should be fixed later) for λ > u(x) [44,63]…”

Section: Quantum Mechanical Dual Of Canonical Jt Gravitymentioning

confidence: 99%

“…Apart from the crucial Dirichlet boundary condition at x = 0 this is the same QM problem that one considers in the orthogonal polynomials approach to matrix models [45,46] (see [44,[47][48][49] for more recent discussions of this approach in the context of JT gravity). Surprisingly, since this should be a theory of black holes [50], this spectrum does not have random matrix level statistics, but rather, adjacent eigenvalues behave as, 5 λ i+1 − λ i = 1 ρ 0,JT (λ)…”

mentioning

confidence: 99%

“…The important distinction between our approach and that of[42,43] is that we have a matrix integral description which allows us to explore the discreteness of the spectrum and the precise quantum mechanical dual of the bulk theory 4. This Hamiltonian was also recently discussed in[44], however that paper concerns only the ensemble averaged version of JT gravity, which does not factorize, nor have a discrete spectrum. The point of[44] is that in some sense, even within the ensemble, there is a "preferred" spectrum, whereas we are studying the microscopic theory with that spectrum which can be explicitly determined from the path integral in the gravitational theory.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Alpha states demystified: Towards microscopic models of AdS$_2$ holography

Blommaert,

Iliesiu,

Kruthoff

2022

Preprint

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We continue our study of factorizing theories of dilaton gravity, characterized by a universal bilocal interaction. All such factorizing theories can be shown to have discrete spectra, distinguished only by their local dilaton potentials. We show how such theories can be used to construct all alpha-states in the Hilbert space of baby universes of ordinary JT gravity. Large classes of these theories with different local potentials are found to be non-perturbatively equivalent and have identical discrete spectra. This is a concrete example of how different bulk descriptions can give rise to the same boundary theory. Such equivalences manifest themselves as null states, which have to be quotiented out in order to construct a proper baby universe Hilbert space. Our results also allow us to revisit the mechanism discussed by Coleman, Giddings and Strominger and concretely link ensemble averaging to the appearance or disappearance of spacetime wormholes.We then investigate JT gravity deformed only by the universal bilocal interaction. In this theory, the only terms that do not cancel in a topological expansion are disks, which capture perturbative fluctuations around a two-dimensional black hole saddle. We find that this theory of black holes has an evenly spaced spectrum, instead of a quantum chaotic one. We present a dual quantum mechanical system with exactly the same discrete spectrum, and propose that this is an example of a new holographic duality between a two-dimensional theory of quantum gravity and a conventional quantum mechanics.

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A Matrix Model for Flat Space Quantum Gravity

Kar

Lamprou

Marteau

et al. 2023

J. High Energ. Phys.

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We take a step towards the non-perturbative description of a two-dimensional dilaton-gravity theory which has a vanishing cosmological constant and contains black holes. This is done in terms of a double-scaled Hermitian random matrix model which non-perturbatively computes the partition function for the asymptotic Bondi Hamiltonian. To arrive at this connection we first construct the gauge-invariant asymptotic phase space of the theory and determine the relevant asymptotic boundary conditions, compute the classical S-matrix and, finally, shed light on the interpretation of the Euclidean path integral defined in previous works. We then construct a matrix model that matches the topological expansion of the latter, to all orders. This allows us to compute the fine-grained Bondi spectrum and other late time observables and to construct asymptotic Hilbert spaces. We further study aspects of the semi-classical dynamics of the finite cut-off theory coupled to probe matter and find evidence of maximally chaotic behavior in out-of-time-order correlators. We conclude with a strategy for constructing the non-perturbative S-matrix for our model coupled to probe matter and comment on the treatment of black holes in celestial holography.

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The Microstate Physics of JT Gravity and Supergravity

Cited by 19 publications

References 117 publications

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

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

Alpha states demystified: Towards microscopic models of AdS$_2$ holography

A Matrix Model for Flat Space Quantum Gravity

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