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AdS/CFT correspondence
About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.
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TL;DR: In this article, the authors provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region in the context of the AdS/CFT correspondence.
Abstract: For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS/CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region.
516 citations
TL;DR: In this paper, the authors studied the large-N gauged quantum mecchanics for a single hermitean matrix in the Harmonic oscillator potential as well as a toy model for the AdS/CFT correspondence.
Abstract: We study the large-N gauged quantum mecchanics for a single hermitean matrix in the Harmonic oscillator potential well as a toy model for the AdS/CFT correspondence We argue that the dual geometry should be a string in two dimensions with a curvature of stringy size Even though the dual geometry is not weakly curved, one can still gain knowledge of the system from a detailed study of the open-closed string duality We give a mapping between the basis of states made of traces (closed strings) and the eigenvalues of the matrix (D-brane picture) in terms of Schur polynomials This is interpreted as an exact open-closed duality We connect this model with a decoupling limit of = 4 SYM and the study of giant gravitons in AdS5 ? S5 We show that the two giant gravitons that expand along AdS5 and S5 can be interpreted in the matrix model as taking an eigenvalue from the Fermi sea and exciting it very much, or as making a hole in the Fermi sea respectively This is similar to recent studies of the c = 1 string This connection gives new insight on how to perform calculations for giant gravitons
514 citations
TL;DR: In this article, a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant were considered, where the horizon is a (d − 2)-dimensional Einstein manifold of positive, zero or negative curvature.
Abstract: We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d - 2)-dimensional Einstein manifold of positive, zero or negative curvature. The mass, temperature and entropy are calculated. Using the correspondence with conformal field theory, the phase structure of the solutions is examined, and used to determine the correct mass dependence of the Bekenstein-Hawking entropy.
513 citations
TL;DR: In this paper, the meson spectrum of an = 2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS5 × S5 with a D7-brane probe was computed.
Abstract: We compute the meson spectrum of an = 2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS5 × S5 with a D7-brane probe [1]. For scalar and vector mesons with arbitrary R-charge the spectrum is computed in closed form by solving the equations for D7-brane fluctuations; for matter with non-zero mass mq it is discrete, exhibits a mass gap of order mq/(gsN)1/2 and furnishes representations of SO(5) even though the manifest global symmetry of the theory is only SO(4). The spectrum of mesons with large spin J is obtained from semiclassical, rotating open strings attached to the D7-brane. It displays Regge-like behaviour for J > (gsN)1/2 it corresponds to that of two non-relativistic quarks bound by a Coulomb potential. Meson interactions, baryons and `giant gauge bosons' are briefly discussed.
506 citations
TL;DR: In this paper, the authors give an introduction to the quantum physics of black holes, including recent developments based on quantum information theory such as the rewall paradox and its various cousins, focusing on those aspects which are relevant for the black hole information problem.
Abstract: In these lectures I give an introduction to the quantum physics of black holes, including recent developments based on quantum information theory such as the rewall paradox and its various cousins. I also give an introduction to holography and the AdS/CFT correspondence, focusing on those aspects which are relevant for the black hole information problem.
500 citations