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Open AccessJournal ArticleDOI

Holographic gravitational anomalies

TLDR
In this article, the holographic stress tensor for the CFT correspondence was shown to be invariant under diffeomorphisms in the boundary theory and in the bulk theory.
Abstract
In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions In the bulk, there can be gravitational Chern-Simons terms which vary by a total derivative We work out the holographic stress tensor for such theories, and demonstrate agreement between the bulk and boundary Anomalies lead to novel effects, such as a nonzero angular momentum for global AdS3 In string theory such Chern-Simons terms are known with exact coefficients The resulting anomalies, combined with symmetries, imply corrections to the Bekenstein-Hawking entropy of black holes that agree exactly with the microscopic counting

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Citations
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Journal ArticleDOI

Algorithm FIRE—Feynman Integral REduction

TL;DR: The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals based on a number of strategies, such as applying the Laporta algorithm, the s-bases algorithm, region-Bases and integrating explicitly over loop momenta when possible.
Journal ArticleDOI

Black hole entropy function, attractors and precision counting of microstates

TL;DR: In this paper, the authors describe recent progress in understanding the attractor mechanism and entropy of extremal black holes based on the entropy function formalism, and compare the statistical entropy of these dyons, expanded in inverse powers of electric and magnetic charges, with a similar expansion of the corresponding black hole entropy.
Journal ArticleDOI

Chiral gravity in three dimensions

TL;DR: In this article, three dimensional Einstein gravity with negative cosmological constant 1/?2 deformed by a gravitational Chern-Simons action with coefficient 1/? is studied in an asymptotically AdS3 spacetime.
Book ChapterDOI

Black holes, black rings and their microstates

TL;DR: In this paper, the authors describe the Born-Infeld construction of three-charge supertubes with two dipole charges and discuss the general method of constructing three charge solutions in five dimensions.
Journal ArticleDOI

More on Massive 3D Gravity

TL;DR: In this article, the authors explore the space of static solutions of the recently discovered three-dimensional ''new massive gravity'' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant.
References
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Journal ArticleDOI

Anti De Sitter Space And Holography

TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
Posted Content

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.
Journal ArticleDOI

Black hole in three-dimensional spacetime.

TL;DR: The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution that appears as a negative energy state separated by a mass gap from the continuous black hole spectrum.
Journal ArticleDOI

Black hole entropy is the Noether charge

TL;DR: The results show that the validity of the "second law" of black hole mechanics in dynamical evolution from an initially stationary black hole to a final stationary state is equivalent to the positivity of a total Noether flux, and thus may be intimately related to the positive energy properties of the theory.
Journal ArticleDOI

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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