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We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N=(2,2) 2D CFT's. We show that such constraints have nontrivial implications for the existence of "extremal" N=(2,2) conformal field…

High Energy Physics - Theory · Physics 2008-11-10 Matthias R. Gaberdiel , Sergei Gukov , Christoph A. Keller , Gregory W. Moore , Hirosi Ooguri

I propound a non-linear generalization of the Poisson equation describing a "medium" in D dimensions with a "dielectric constant" proportional to the field strength to the power D-2. It is the only conformally invariant scalar theory that…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Mordehai Milgrom

Two sets of modes of a massive free scalar field are quantized in a pair of Poincar\'e patches of Lorentzian anti-de Sitter (AdS) space, AdS$_{d+1}$ ($d \geq 2$). It is shown that in Poincar\'e coordinates $(r,t,\vec{x})$, the two…

High Energy Physics - Theory · Physics 2015-06-19 Ippei Fujisawa , Ryuichi Nakayama

We investigate the AdS$_3$/CFT$_2$ correspondence for the Euclidean AdS$_3$ space compactified on a solid torus with the CFT field on the regularizing boundary surface in the bulk. Correlation functions corresponding to the bulk theory at…

High Energy Physics - Theory · Physics 2007-05-23 L. Chekhov

Taking the flat-space limit (zero cosmological constant limit) of the Rindler-AdS spacetime yields the Rindler metric. According to the proposal of Flat/contracted-CFT correspondence, the flat-space limit on the bulk side of asymptotically…

High Energy Physics - Theory · Physics 2014-06-25 Reza Fareghbal , Ali Naseh

We use the group-theoretic interpretation of the AdS/CFT correspondence which we proposed earlier in order to lift intertwining operators acting between boundary conformal representations to intertwining operators acting between bulk…

High Energy Physics - Theory · Physics 2007-05-23 V. K. Dobrev

We calculate 2-point correlators for New Massive Gravity at the chiral point and find that they behave precisely as those of a logarithmic conformal field theory, which is characterized in addition to the central charges c_L = c_R = 0 by…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Olaf Hohm

The Euclidean Anti-de Sitter (AdS) space provides a natural framework for studying boundary conformal field theory (BCFT). We analyze the conformal boundary conditions of the critical O$(N)$ model in $d=4-\epsilon$ dimensions using the…

High Energy Physics - Theory · Physics 2025-07-31 Simone Giombi , Zimo Sun

Various exact two-dimensional conformal field theories with AdS_{2d+1} target space are constructed. These models can be solved using bosonization techniques. Some examples are presented that can be used in building perturbative superstring…

High Energy Physics - Theory · Physics 2010-02-03 Jan de Boer , Samson L. Shatashvili

We show that the background field method applied to supergravity in adS space-time provides the path integral for the theory in the bulk with conformal symmetry associated with the isometry of the adS space. This in turn allows to establish…

High Energy Physics - Theory · Physics 2009-10-31 Renata Kallosh , Antoine Van Proeyen

We review some of the problems associated with deriving field theoretic results from nonsupersymmetric AdS, focusing on how to control the behavior of the field theory along the flat directions. We discuss an example in which the origin of…

High Energy Physics - Theory · Physics 2008-11-26 M. Berkooz , A. Kapustin

In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The…

High Energy Physics - Theory · Physics 2022-10-19 Abhijit Gadde , Trakshu Sharma

We give arguments for a conjecture made in a previous paper, that one has to use only the gauged sugra action for the calculation of correlators of certain operators via the AdS-CFT correspondence. The existence of consistent truncations…

High Energy Physics - Theory · Physics 2007-05-23 Horatiu Nastase , Diana Vaman

In this paper we write down the equation for a scalar conformally coupled field simultaneously for de Sitter (dS), anti-de Sitter (AdS) and Minkowski spacetime in d-dimensions. The curvature dependence appears in a very simple way through a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 E. Huguet , J. Queva , J. Renaud

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Theory · Physics 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

We study the contact terms that appear in the correlation functions of exactly marginal operators using the AdS/CFT correspondence. It is known that CFT with an exactly marginal deformation requires the existence of the contact terms with…

High Energy Physics - Theory · Physics 2020-10-14 Tadakatsu Sakai , Masashi Zenkai

We describe new non-supersymmetric conformal field theories in three and four dimensions, using the CFT/AdS correspondence. In order to believe in their existence at large N_c and strong 't Hooft coupling, we explicitly check the stability…

High Energy Physics - Theory · Physics 2008-11-26 Jacques Distler , Frederic Zamora

Conformal symmetry provides a systematic approximation to QCD in both its perturbative and nonperturbative domains. One can use the AdS/CFT correspondence between Anti-de Sitter space and conformal gauge theories to obtain an analytically…

High Energy Physics - Phenomenology · Physics 2009-11-13 Stanley J. Brodsky

We study a charged scalar field in a bulk 3+1 dimensional anti-deSitter spacetime with a planar black hole background metric. Through the AdS/CFT correspondence this is equivalent to a strongly coupled field theory in 2+1 dimensions…

High Energy Physics - Theory · Physics 2019-08-14 Paul Mikula , Margaret E. Carrington , Gabor Kunstatter

By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how…

High Energy Physics - Theory · Physics 2022-07-06 Kenta Suzuki , Tadashi Takayanagi