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An explicit AdS/CFT correspondence is shown for the Lie group $SO(4,2)$. The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry. One is a gravitational theory that has anti-de…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Jeffrey S Hazboun

In this talk we review recent developments which enable us to use techniques of integrable two-dimensional quantum field theories to solve exactly four dimensional N=4 gauge theory through the use of the AdS/CFT correspondence. By `solve'…

High Energy Physics - Theory · Physics 2014-11-20 Romuald A. Janik

The Weak Gravity Conjecture (WGC) in anti-de Sitter spacetime (AdS) asserts the existence of an operator in the boundary conformal field theory (CFT) whose scaling dimension-to-charge ratio satisfies a certain upper bound. This bound is…

High Energy Physics - Theory · Physics 2023-08-04 Minseok Cho , Sunjin Choi , Ki-Hong Lee , Jaewon Song

We compute the exact retarded Green's functions in thermal $CFT$s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating…

High Energy Physics - Theory · Physics 2023-02-27 Atanu Bhatta , Taniya Mandal

We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet,…

High Energy Physics - Theory · Physics 2009-10-31 Pablo Minces , Victor O. Rivelles

A quantum field theory on Anti-de-Sitter space can be constructed from a conformal field theory on its boundary Minkowski space by an inversion of the holographic mapping. To do this the conformal field theory must satisfy certain…

High Energy Physics - Theory · Physics 2009-11-10 W. Ruehl

The dS/CFT correspondence is illuminated through an analysis of massive scalar field theory in d-dimensional de Sitter space. We consider a one-parameter family of dS-invariant vacua related by Bogolyubov transformations and compute the…

High Energy Physics - Theory · Physics 2009-09-17 Raphael Bousso , Alexander Maloney , Andrew Strominger

In this paper, we study excited states in Anti-de Sitter (AdS) space prepared by local operator insertions of a massive scalar field, corresponding to local operator quenches in a free bulk scalar theory. Using the AdS/CFT correspondence,…

High Energy Physics - Theory · Physics 2025-10-27 Dmitry S. Ageev , Vladimir A. Bykov

We study oscillons in a real scalar field theory in a (3+1)-dimensional AdS space with global coordinates. The initial configuration is given by a Gaussian shape with an appropriate core size as in Minkowski spacetime. The solution exhibits…

High Energy Physics - Theory · Physics 2025-05-20 Takaaki Ishii , Takaki Matsumoto , Kanta Nakano , Ryosuke Suda , Kentaroh Yoshida

We propose a new non-holographic formulation of AdS/CFT correspondence, according to which quantum gravity on AdS and its dual non-gravitational field theory both live in the same number D of dimensions. The field theory, however, appears…

High Energy Physics - Theory · Physics 2015-07-03 H. Nikolic

We study extremal surfaces in the static patch coordinatization of de Sitter space, focussing on the future and past universes. We find connected timelike codim-2 surfaces on a boundary Euclidean time slice stretching from the future…

High Energy Physics - Theory · Physics 2018-07-10 K. Narayan

We solve the Dirichlet boundary value problem for the massless gravitino on $AdS_{d+1}$ space and compute the two-point function of the dual CFT supersymmetry currents using the $AdS$/CFT correspondence principle. We find analogously to the…

High Energy Physics - Theory · Physics 2016-08-25 Steven Corley

Asymptotically anti-de Sitter spacetimes with Poincare invariance along the boundary can describe, via the AdS/CFT correspondence, either relevant deformations of a conformal field theory or non-conformal vacuum states. I consider examples…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser

We analyze the gravity-induced effects associated with a massless scalar field in a higher-dimensional spacetime being the tensor product of $(d-n)$-dimensional Minkowski space and $n$-dimensional spherically/cylindrically-symmetric space…

High Energy Physics - Theory · Physics 2017-03-08 Yuri V. Grats , Pavel Spirin

We discuss the general question of which conformal field theories have dual descriptions in terms of quantum gravity theories on anti-de Sitter space. We analyze in detail the case of a deformed product of n conformal field theories (each…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Adam B. Clark , Andreas Karch

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained…

High Energy Physics - Theory · Physics 2016-11-23 Mikhail Vasiliev

We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the…

High Energy Physics - Theory · Physics 2021-06-30 Yolanda Lozano , Anayeli Ramirez

The scalar field exchange diagram for the correlation function of four scalar operators is evaluated in anti-de Sitter space, $AdS_{d+1}$. The conformal dimensions $\Delta_i$, $i=1,...,4$ of the scalar operators and the dimension $\Delta$…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , Daniel Z. Freedman

A weak quantum mechanical coupling is constructed permitting superluminal communication within a preferred region of a gravitating AdS_5 spacetime. This is achieved by adding a spatially non-local perturbation of a special kind to the…

High Energy Physics - Theory · Physics 2008-11-26 Raman Sundrum

We analyse the spectrum of perturbations of the de Sitter space on the one hand, while on the other hand we compute the location of the poles in the Conformal Field Theory (CFT) propagator at the border. The coincidence is striking,…

High Energy Physics - Theory · Physics 2009-11-07 E. Abdalla , K. H. C. Castello-Branco , A. Lima-Santos