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The goal of these notes is to introduce, in a very elementary way, the idea of the anti de-Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)- dimensional…

Strongly Correlated Electrons · Physics 2010-07-01 A S T Pires

We study a simple version of the AdS/CFT (anti-de Sitter spacetime/Conformal Field Theory) correspondence, where operators have integer conformal dimensions. In this model, bulk causality follows from boundary analyticity, even in…

High Energy Physics - Theory · Physics 2009-07-30 David A. Lowe

The large radius limit in the AdS/CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the…

High Energy Physics - Theory · Physics 2009-10-31 Steven B. Giddings

The work is an attempt to model a scenario of inflation in the framework of Anti de Sit- ter/Conformal Field theory (AdS/CFT) duality, a potentially complete nonperturbative description of quantum gravity via string theory. We look at…

High Energy Physics - Theory · Physics 2014-11-20 David A. Lowe , Shubho Roy

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

A deSitter brane-world bounding regions of anti-deSitter space has a macroscopic entropy given by one-quarter the area of the observer horizon. A proposed variant of the AdS/CFT correspondence gives a dual description of this cosmology as…

High Energy Physics - Theory · Physics 2009-10-31 Stephen Hawking , Juan Maldacena , Andrew Strominger

AdS/CFT is a conjectured equivalence between a field theory without gravity (conformal field theory) and a string theory in a special curved background (anti de-Sitter space), where theories on both sides of the equivalence is…

High Energy Physics - Theory · Physics 2017-05-02 Shibaji Roy

The AdS/CFT correspondence states an equivalence between a quantum gravitational theory in a (d+1)-dimensional anti-de Sitter spacetime (AdS$_{d+1}$) and a d-dimensional conformal field theory (CFT$_{d}$). The CFT$_{d}$ lives on the…

High Energy Physics - Theory · Physics 2025-12-23 Hao Geng , Daniel Jafferis , Pushkal Shrivastava , Neeraj Tata

We study implications of the weak gravity conjecture in the AdS/CFT correspondence. Unlike in Minkowski spacetime, AdS spacetime has a physical length scale, so that the conjecture must be generalized with an additional parameter. We…

High Energy Physics - Theory · Physics 2015-12-23 Yu Nakayama , Yasunori Nomura

We introduce the framework of Quantum Field Theories in general backgrounds through the lens of the path integral, in the formulation known as the Functorial QFT. With the aim of studying properties of strongly coupled QFTs, we present key…

High Energy Physics - Theory · Physics 2026-05-07 Jonáš Dujava

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Shahar Hod

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

I review the relationship between AdS/CFT (anti-de Sitter / conformal field theory) dualities and the general theory of positive energy unitary representations of non-compact space-time groups and supergroups. I show, in particular, how one…

High Energy Physics - Theory · Physics 2007-05-23 Murat Gunaydin

In this letter we use the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to establish a set of old conjectures about symmetries in quantum gravity. These are that no global symmetries are possible, that internal gauge…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri

Semiclassical gravity predicts that de Sitter space has a finite entropy. We suggest a picture for Euclidean de Sitter space in string theory, and use the AdS/CFT correspondence to argue that de Sitter entropy can be understood as the…

High Energy Physics - Theory · Physics 2010-05-28 Vijay Balasubramanian , Petr Horava , Djordje Minic

In the last two decades the Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) has emerged as focal point of many research interests. In particular, it functions as a stepping stone to a still missing full quantum theory of…

High Energy Physics - Theory · Physics 2021-01-25 Stefano Antonini , Brian Swingle

In this work we expand on the holographic description of CFTs on de Sitter (dS) and anti-de Sitter (AdS) spacetimes and examine how violations of the unitarity bound in the boundary theory are recovered in the bulk physics. To this end we…

High Energy Physics - Theory · Physics 2012-03-21 Tomas Andrade , Christoph F. Uhlemann

An important insight from the study of AdS/CFT is that bulk locality can be derived from crossing symmetry of the boundary CFT. In this paper, we take the first steps in extending this statement to de Sitter background by demonstrating how…

High Energy Physics - Theory · Physics 2025-08-22 Parijat Dey , Zhongjie Huang , Arthur Lipstein

Considering theories in sectors of large global charge $Q$ results in a semiclassical effective field theory (EFT) description for some strongly-coupled conformal field theories (CFTs) with continuous global symmetries. Hence, when studying…

High Energy Physics - Theory · Physics 2018-09-26 Orestis Loukas , Domenico Orlando , Susanne Reffert , Debajyoti Sarkar

A concrete model of extracting the physics from the bulk of a gravitational universe is important to the study of quantum gravity and its possible relationship with experiments. Such a model can be constructed in the AdS/CFT correspondence…

High Energy Physics - Theory · Physics 2025-06-10 Hao Geng
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