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One of the key applications of AdS/CFT correspondence is the duality it dictates between the entanglement entropy of Anti-de Sitter (AdS) black holes and lower-dimensional conformal field theories (CFTs). Here we employ a square lattice of…

High Energy Physics - Theory · Physics 2023-12-08 Aydin Deger , Matthew D. Horner , Jiannis K. Pachos

We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scalar fields acquire expectation values, and…

High Energy Physics - Theory · Physics 2010-04-07 Igor R. Klebanov , Edward Witten

We present a detailed discussion of AdS_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that…

High Energy Physics - Theory · Physics 2008-12-18 Per Kraus

The use of the AdS/CFT correspondence to arrive at quiver gauge field theories is dicussed, focusing on the orbifolded case without supersymmetry. An abelian orbifold with the finite group $Z_{p}$ can give rise to a $G = SU(N)^p$ gauge…

High Energy Physics - Theory · Physics 2007-05-23 Paul H. Frampton

We explore the extent to which a local string theory dynamics in anti-de Sitter space can be determined from its proposed Conformal Field Theory (CFT) description. Free fields in the bulk are constructed from the CFT operators, but…

High Energy Physics - Theory · Physics 2007-05-23 Tom Banks , Michael R. Douglas , Gary T. Horowitz , Emil Martinec

4D Lorentzian conformal field theory (CFT) is mapped into 5D anti-de Sitter spacetime (AdS), from the viewpoint of "geometrizing" conformal current algebra. A large-N expansion of the CFT is shown to lead to (infinitely many) weakly coupled…

High Energy Physics - Theory · Physics 2013-05-30 Raman Sundrum

We consider the AdS/CFT correspondence in the context of 2d CFT and find that essentially all ``single particle'' primary fields with higher spin, predicted from the CFT side are missing from the Kaluza-Klein excitations of the AdS…

High Energy Physics - Theory · Physics 2007-05-23 Cumrun Vafa

Using the AdS/CFT correspondence, we show that the Anti-de Sitter (AdS) rotating (Kerr) black holes in five and seven dimensions provide us with examples of non-trivial field theories which are scale, but not conformally invariant. This is…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson

Local operators in the bulk of AdS can be represented as smeared operators in the dual CFT. We show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation. This extends our previous work…

High Energy Physics - Theory · Physics 2011-06-08 Daniel Kabat , Gilad Lifschytz , David A. Lowe

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

The Lorentzian AdS/CFT correspondence implies a map between local operators in supergravity and non-local operators in the CFT. By explicit computation we construct CFT operators which are dual to local bulk fields in the semiclassical…

High Energy Physics - Theory · Physics 2008-11-26 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

In this paper we study the AdS/CFT correspondence in the operator formalism without assuming the GKPW relation. We explicitly show that the low energy spectrum of the large N limit of CFT, which is realized by a strong coupling gauge…

High Energy Physics - Theory · Physics 2018-03-14 Seiji Terashima

We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson

These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with…

High Energy Physics - Theory · Physics 2007-12-20 Horatiu Nastase

Within the AdS/CFT correspondence, we identify a class of CFT operators which represent diff-invariant and approximately local observables in the gravitational dual. Provided that the bulk state breaks all asymptotic symmetries, we show…

High Energy Physics - Theory · Physics 2024-05-14 Eyoab Bahiru , Alexandre Belin , Kyriakos Papadodimas , Gabor Sarosi , Niloofar Vardian

We construct smeared CFT operators which represent a scalar field in AdS interacting with gravity. The guiding principle is micro-causality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a…

High Energy Physics - Theory · Physics 2014-03-26 Daniel Kabat , Gilad Lifschytz

We begin by explicating a recent proof of the cluster decomposition principle in AdS_{d+1} from the CFT_d bootstrap in d > 2. The CFT argument also computes the leading interactions between distant objects in AdS, and we confirm the…

High Energy Physics - Theory · Physics 2014-09-17 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters

We construct both local states and scattering states with finite energy in global AdS by inserting properly regularized operators in the CFT of arbitrary conformal dimension $(\Delta)$ at an instant of time. We give the state fixed angular…

High Energy Physics - Theory · Physics 2020-02-26 David Berenstein , Joan Simon

We study gravitational solutions that admit a dual CFT description and carry non zero dipole charge. We focus on the black ring solution in AdS_3 x S^3 and extract from it the one-point functions of all CFT operators dual to scalar…

High Energy Physics - Theory · Physics 2008-11-26 Luis F. Alday , Jan de Boer , Ilies Messamah

In this article we study giant gravitons in the framework of AdS/CFT correspondence. First, we show how to describe these configurations in the CFT side using a matrix model. In this picture, giant gravitons are realized as single…

High Energy Physics - Theory · Physics 2010-02-03 Marco M. Caldarelli , Pedro J. Silva