Pedagogical introduction to SYK model and 2D Dilaton Gravity

Trunin, Dmitrii A.

doi:10.48550/arxiv.2002.12187

Cited by 7 publications

(10 citation statements)

References 163 publications

(392 reference statements)

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“…Recent years have witnessed great interest and developments on an ensemble-averaged version of the renowned AdS/CFT correspondence [1], which relates the Sachdev-Ye-Kitaev (SYK) quantum-mechanical model [2][3][4] at low temperatures to Jackiw-Teitelboim (JT) two-dimensional (2d) dilaton gravity [5][6][7][8]-itself localizing the 2d bulk geometry to AdS 2 , whilst placing its nontrivial dynamics on the one-dimensional fluctuating boundary [9][10][11][12][13][14] (see, e.g., [15][16][17], for reviews on SYK, 2d dilaton gravities, and further references). This endeavor finally brought AdS/CFT to the strict quantum-mechanical realm.…”

Section: Introductionmentioning

confidence: 99%

From Minimal Strings towards Jackiw-Teitelboim Gravity: On their Resurgence, Resonance, and Black Holes

Gregori,

Schiappa

2021

Preprint

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Two remarkable facts about Jackiw-Teitelboim two-dimensional dilaton-gravity have been recently uncovered: this theory is dual to an ensemble of quantum mechanical theories; and such ensemble is described by a random matrix model which itself may be regarded as a special (large matter-central-charge) limit of minimal string theory. This work addresses this limit, putting it in its broader matrix-model context; comparing results between multicritical models and minimal strings (i.e., changing in-between multicritical and conformal backgrounds); and in both cases making the limit of large matter-central-charge precise (as such limit can also be defined for the multicritical series). These analyses are first done via spectral geometry, at both perturbative and nonperturbative levels, addressing the resurgent large-order growth of perturbation theory, alongside a calculation of nonperturbative instanton-actions and corresponding Stokes data. This calculation requires an algorithm to reach large-order, which is valid for arbitrary two-dimensional topological gravity. String equations-as derived from the Gel'fand-Dikii construction of the resolvent-are analyzed in both multicritical and minimal string theoretic contexts, and studied both perturbatively and nonperturbatively (always matching against the earlier spectral-geometry computations). The resulting solutions, as described by resurgent transseries, are shown to be resonant. The large matter-central-charge limit is addressed-in the string-equation context-and, in particular, the string equation for Jackiw-Teitelboim gravity is obtained to next derivative-orders, beyond the known genus-zero case (its possible exact-form is also discussed). Finally, a discussion of gravitational perturbations to Schwarzschild-like black hole solutions in these minimal-string models, regarded as deformations of Jackiw-Teitelboim gravity, is included-alongside a brief discussion of quasinormal modes.

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Section: Introductionmentioning

confidence: 99%

From Minimal Strings towards Jackiw-Teitelboim Gravity: On their Resurgence, Resonance, and Black Holes

Gregori,

Schiappa

2021

Preprint

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“…Z is a word of weight w = 4 (4 letters) in su (2 8 ). Low weight directions are both the practical directions along which to evolve a quantum state in a quantum computer and according to the SYK [11] model (in its Bosonic version), the principal directions of black hole evolution [4,3]. These constraints direct our attention to the Brown-Susskind exponential penalty metrics: (1) g ij = δ ij e const.…”

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confidence: 99%

The universe from a single particle

Freedman

Zini

2021

J. High Energ. Phys.

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We explore the emergence of many-body physics from quantum mechanics via spontaneous symmetry breaking. To this end, we study potentials which are functionals on the space of Hamiltonians enjoying an unstable critical point corresponding to a random quantum mechanical system (the Gaussian unitary ensemble), but also less symmetrical local minima corresponding to interacting systems at the level of operators.

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“…It also allows us to leave aside unimportant higher-dimensional complications. Holography provides a connection to condensed matter models like the SYK spin chain [7], so it can be potentially verified even in the lab experiments [8].…”

Section: Introductionmentioning

confidence: 99%

Black bounces and remnants in dilaton gravity

Fitkevich

2022

Preprint

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We propose a family of dilaton gravity models possessing regular black holes called timeholes with interiors connecting separate asymptotically flat regions. We demonstrate that inner Cauchy horizons are stable given certain initial conditions. We study causal structure and evaluate thermodynamic properties of timeholes using Euclidean methods. Extremal timeholes have zero temperature and can be considered as remnants. We speculate that quantum filed fluctuations can dissolve event horizons in case of timeholes providing a possible resolution to information paradox.

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Pedagogical introduction to SYK model and 2D Dilaton Gravity

Cited by 7 publications

References 163 publications

From Minimal Strings towards Jackiw-Teitelboim Gravity: On their Resurgence, Resonance, and Black Holes

From Minimal Strings towards Jackiw-Teitelboim Gravity: On their Resurgence, Resonance, and Black Holes

The universe from a single particle

Black bounces and remnants in dilaton gravity

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