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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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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"…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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.…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 2007-05-23 L. Chekhov