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Black holes, shock waves, and causality in the AdS/CFT correspondence

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TLDR
In this paper, the expectation value of the energy-momentum tensor in the CFT corresponding to a moving black hole in AdS was found, and the correspondence between the gravitational shock wave and these light cone states provided a useful tool for testing causality.
Abstract
We find the expectation value of the energy-momentum tensor in the CFT corresponding to a moving black hole in AdS. Boosting the black hole to the speed of light, keeping the total energy fixed, yields a gravitational shock wave in AdS. The analogous procedure on the field theory side leads to ``light cone'' states, i.e., states with energy-momentum tensor localized on the light cone. The correspondence between the gravitational shock wave and these light cone states provides a useful tool for testing causality. We show, in several examples, how the CFT reproduces the causal relations in AdS.

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Large N Field Theories, String Theory and Gravity

TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
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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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Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence

TL;DR: In this paper, the authors developed a method for renormalizing the AdS/CFT prescription for computing correlation functions, which involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding counterterms to cancel them and then removing the regulator.
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Conformal collider physics: energy and charge correlations

TL;DR: In this article, the authors studied the correlation functions of the energies deposited on calorimeters placed at a large distance from the colliders and showed that the small angle singularities of energy correlation functions are controlled by the twist of nonlocal light-ray operators with a definite spin.
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Localized shocks

TL;DR: In this article, the products of precursors of spatially local operators are studied using chaotic spin-chain numerics and gauge/gravity duality, and a single precursor fills a spatial region that grows linearly in a tensor network.
References
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Journal ArticleDOI

Gauge Theory Correlators from Non-Critical String Theory

TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
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Anti de sitter space and holography

TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
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Supergravity and The Large N Limit of Theories With Sixteen Supercharges

TL;DR: In this paper, the authors consider field theories with sixteen supersymmetries, which include U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions.
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The Holographic Bound in Anti-de Sitter Space

TL;DR: In this article, it was shown that the holographic bound that the boundary theory has only one bit of information per Planck area has not been justified by the physical interpretation of one of the unusual aspects of the correspondence between Anti-de Sitter space and the boundary conformal field theory, which is that infrared effects in the bulk theory are reflected as ultraviolet effects in boundary theory.
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Brane dynamics from the Born-Infeld action

TL;DR: In this article, the authors used the abelian Born-Infeld action for the world-volume gauge field and transverse displacement scalars to explore new aspects of D-brane structure and dynamics.
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