An investigation of AdS2 backreaction and holography
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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.read more
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Large q expansion in the Sachdev-Ye-Kitaev model
TL;DR: In this paper, the authors considered the SYK model where interaction involves $q$ fermions at a time, and they found the $1/{q}^{2}$ correction to the thermal two-point function in the large q$ expansion.
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Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
TL;DR: In this article, the exact 2-point function of certain physically motivated operators in SYK-like spin glass models is computed, bypassing the Schwinger-Dyson equations, and the results are exact at all time scales.
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Emergent unitarity in de Sitter from matrix integrals
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Universal Constraints on Energy Flow and SYK Thermalization
TL;DR: In this article, the authors studied the dynamics of a quantum system in thermal equilibrium that is suddenly coupled to a bath at a different temperature, a situation inspired by a particular black hole evaporation protocol, and proved a universal positivity bound on the integrated rate of change of the system energy which holds perturbatively in the system-bath coupling.
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Symmetries Near the Horizon
TL;DR: In this article, the authors considered a nearly-AdS$_2$ gravity theory on the two-sided wormhole geometry and constructed three gauge-invariant operators in NAdS which move bulk matter relative to the dynamical boundaries.
References
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Holographic Derivation of Entanglement Entropy from the anti de Sitter Space/Conformal Field Theory Correspondence
Shinsei Ryu,Tadashi Takayanagi +1 more
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
Vijay Balasubramanian,Per Kraus +1 more
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
Juan Maldacena,Douglas Stanford +1 more
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.
Subir Sachdev,Jinwu Ye +1 more
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.