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It was recently observed that boundary correlators of the elementary scalar field of the Liouville theory on AdS$_2$ background are the same (up to a non-trivial proportionality coefficient) as the correlators of the chiral stress tensor of…

High Energy Physics - Theory · Physics 2019-10-02 Matteo Beccaria , Hongliang Jiang , Arkady A. Tseytlin

The non-renormalization of the 3-point functions $tr X^{k_1} tr X^{k_2} tr X^{k_3}$ of chiral primary operators in N=4 super-Yang-Mills theory is one of the most striking facts to emerge from the AdS/CFT correspondence. A two-fold puzzle…

High Energy Physics - Theory · Physics 2016-11-23 E. D'Hoker , D. Z. Freedman , S. D. Mathur , A. Matusis , L. Rastelli

Space-time N=2 and N=4 superconformal algebras can be built using world-sheet free fields or, equivalently, free field representations of osp(1|2) and sl(2|1), respectively. A prescription for the calculation of space-time correlators is…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Andreev

We derive the general formula, at a finite cutoff, for the change in the boundary condition of a scalar field in AdS under a Multiple-trace deformation of the dual CFT. Our analysis suggests that fluctuations around the classical solution…

High Energy Physics - Theory · Physics 2009-11-07 Amit Sever , Assaf Shomer

What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence. We give a prescription for computing the number of large bulk dimensions, $D$, from strongly-coupled CFT$_d$ data, where "large"…

High Energy Physics - Theory · Physics 2019-11-14 Luis F. Alday , Eric Perlmutter

We consider correlation functions in 6d $(2,0)$ theories of two $\frac{1}{2}$-BPS operators inserted away from a $\frac{1}{2}$-BPS surface defect. In the large central charge limit the leading connected contribution corresponds to sums of…

High Energy Physics - Theory · Physics 2023-10-31 Junding Chen , Aleix Gimenez-Grau , Xinan Zhou

The AdS/CFT correspondence has developed over the last years into a very useful and powerful tool for studying strongly coupled field theories at finite temperature and density. Of particular interest is the regime of near equilibrium real…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Karl Landsteiner

We explicitly calculate a Witten diagram with general spinor field exchange on $(d+1)$-dimensional Euclidean Anti-de Sitter space, which is necessary to evaluate four-point correlation functions with spinor fields when we make use of the…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Kazumi Okuyama

In this paper we use AdS/CFT ideas in conjunction with insights from finite temperature real-time field theory formalism to compute 3-point correlators of ${\cal N}{=}4$ super Yang-Mills operators, in real time and at finite temperature. To…

High Energy Physics - Theory · Physics 2015-03-14 Edwin Barnes , Diana Vaman , Chaolun Wu , Peter Arnold

We study various perturbations and their holographic interpretation for non-Abelian T-dual of $ AdS_5 \times S^5 $ where the T-duality is applied along the $ SU(2) $ of $ AdS_5 $. This paper focuses on two types of perturbations, namely the…

High Energy Physics - Theory · Physics 2024-01-30 Dibakar Roychowdhury

Conformal techniques are applied to the calculation of integrals on AdS(d+1) space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of…

High Energy Physics - Theory · Physics 2009-10-08 Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

We revisit the computation of string worldsheet correlators on Euclidean $\text{AdS}_3$ with pure NS-NS background. We compute correlation functions with insertions of spectrally flowed operators. We explicitly solve all the known…

High Energy Physics - Theory · Physics 2021-09-01 Andrea Dei , Lorenz Eberhardt

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

We illustrate the power and efficiency of a recently uncovered Mellin-space approach to AdS/CFT correlation functions by providing a universal formula for the 4-scalar graviton-exchange Witten diagram, for arbitrary CFT-dual scaling…

High Energy Physics - Theory · Physics 2012-11-20 Gregory Giecold

Various aspects of the four point function for scalar fields in conformally invariant theories are analysed. This depends on an arbitrary function of two conformal invariants u,v. A recurrence relation for the function corresponding to the…

High Energy Physics - Theory · Physics 2009-10-31 F. A. Dolan , H. Osborn

We study the spectrum of certain two-particle operators in the supergravity regime of the D1-D5 system, focussing on the four-point correlators of tensor multiplets on $AdS_3\times S^3$ at tree level. In Mellin space, these are nicely…

High Energy Physics - Theory · Physics 2022-01-25 Francesco Aprile , Michele Santagata

An improved correspondence formula is proposed for the calculation of correlation functions of a conformal field theory perturbed by multi-trace operators from the analysis of the dynamics of the dual field theory in Anti-de Sitter space.…

High Energy Physics - Theory · Physics 2016-09-06 Wolfgang Mueck

We construct a Super-Grassmannian integral representation for $n-$point functions in $\mathcal{N}=1$ SCFT$_3$. In this formalism, conformal invariance, supersymmetry, and special superconformal invariance are implemented manifestly through…

High Energy Physics - Theory · Physics 2026-04-10 Aswini Bala , Sachin Jain , Dhruva K. S. , Adithya A Rao

We revisit the extrapolate dictionary for massless scattering in flat spacetime and identify a soft contribution that is typically dropped from the saddle point approximation. We show how to consistently regulate the extrapolation to…

High Energy Physics - Theory · Physics 2024-10-29 Eivind Jørstad , Sabrina Pasterski

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
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