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An investigation of AdS2 backreaction and holography

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TLDR
In this article, the authors investigate a dilaton gravity model in AdS2 and develop a 1d effective description in terms of a dynamical boundary time with a Schwarzian derivative action.
Abstract
We investigate a dilaton gravity model in AdS2 proposed by Almheiri and Polchinski [1] and develop a 1d effective description in terms of a dynamical boundary time with a Schwarzian derivative action. We show that the effective model is equivalent to a 1d version of Liouville theory, and investigate its dynamics and symmetries via a standard canonical framework. We include the coupling to arbitrary conformal matter and analyze the effective action in the presence of possible sources. We compute commutators of local operators at large time separation, and match the result with the time shift due to a gravitational shockwave interaction. We study a black hole evaporation process and comment on the role of entropy in this model.

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Matrix models for eigenstate thermalization

TL;DR: The authors developed a class of matrix models which implement and formalize the eigenstate thermalization hypothesis (ETH) and point out that in general these models must contain non-Gaussian corrections, already in order to correctly capture thermal mean-field theory, or to capture non-trivial OTOCs as well as their higher-order generalizations.
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Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect

TL;DR: In this paper, the authors study the theory of Jackiw-teitelboim gravity with generalized dilaton potential on Euclidean two-dimensional negatively curved backgrounds and show how the presence of defects modify correlation functions, including the out-of-time-ordered correlation, and decrease the Lyapunov exponent.
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S L (2 , R ) lattices as information processors

TL;DR: A simple phenomenological model of the black hole as a lattice of interacting nearly AdS_2 throats with gravitational hair charges propagating over the lattice is constructed and the Hayden-Preskill protocol of decoding infalling information is discussed.
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Chaotic Correlation Functions with Complex Fermions

TL;DR: In this article, the authors study correlation functions in the complex fermion SYK model, specifically on the h = 2 mode which explicitly breaks conformal invariance and exhibits the chaotic behaviour.
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Aspects of Jackiw-Teitelboim gravity in Anti-de Sitter and de Sitter spacetime

TL;DR: In this paper , the authors discuss the double trumpet path integral and argue that with suitable twisted boundary conditions, a divergence in the moduli space integral can be avoided and the system can tunnel from a contracting phase to an expanding one avoiding a potential big bang/big crunch singularity.
References
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Journal ArticleDOI

Holographic Derivation of Entanglement Entropy from the anti de Sitter Space/Conformal Field Theory Correspondence

TL;DR: It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.
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A Stress tensor for Anti-de Sitter gravity

TL;DR: In this paper, the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space is computed, and the conformal anomalies in two and four dimensions are recovered.
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A bound on chaos

TL;DR: In this paper, a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom is given, based on plausible physical assumptions, establishing this conjecture.
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Remarks on the Sachdev-Ye-Kitaev model

TL;DR: In this paper, the authors studied the quantum mechanical model of $N$ Majorana fermions with random interactions of a few Fermions at a time (Sachdev-Ye-Kitaev model) in the large N$ limit.
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Gapless spin-fluid ground state in a random quantum Heisenberg magnet.

TL;DR: The spin-S quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions is examined with generalizing to SU(M) symmetry and studying the large M limit to find the spin-fluid phase to be generically gapless.
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