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Extremal cubic couplings in AdS relate bulk fields such that $\Delta_i+\Delta_j=\Delta_k$. Such couplings lead to divergent 3-point Witten diagrams, and do not occur in theories with maximal supersymmetry. We consider the simplest theories…

高能物理 - 理论 · 物理学 2025-07-02 Shai M. Chester , Rishi Mouland , Jesse van Muiden

We show how some features of the AdS/CFT correspondence for AdS_3 can easily be understood via standard world-sheet methods and 2d gravity like scaling arguments. To do this, we propose a stringy way for perturbing two-dimensional CFT's…

高能物理 - 理论 · 物理学 2009-10-31 Oleg Andreev

In this paper we study the AdS/CFT correspondence for N=4 SYM with gauge group U(N), compactified on S^3 in four dimensions using Monte-Carlo techniques. The simulation is based on a particular reduction of degrees of freedom to commuting…

高能物理 - 理论 · 物理学 2014-11-18 David Berenstein , Randel Cotta

It was demonstrated in recent work that $d=4$ unitary CFT's satisfy a special property: if a scalar operator with conformal dimension $\Delta$ exists in the operator spectrum, then the conformal bootstrap demands that large spin primary…

高能物理 - 理论 · 物理学 2015-08-12 Gideon Vos

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the…

高能物理 - 理论 · 物理学 2023-10-03 Adam Ball , Shounak De , Akshay Yelleshpur Srikant , Anastasia Volovich

We construct the graviton propagator in $n$-dimensional anti-de Sitter spacetime in the most general covariant gauge. We then study the behaviour of this propagator for different values of the gauge parameters. We will show that in any…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Mir Faizal

In this follow up paper, we calculate higher point tree level graviton Witten diagrams in AdS$_4$ via bulk perturbation theory. We show that by rearranging the bulk to bulk graviton propagators, the calculations effectively reduce to the…

高能物理 - 理论 · 物理学 2020-01-24 Soner Albayrak , Savan Kharel

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 discuss the concept of composite fields in flat CFT as well as in the context of AdS/CFT. Furthermore we show how to represent Green functions using generalized hypergeometric functions and apply these techniques to four-point functions.…

高能物理 - 理论 · 物理学 2009-11-07 L. Hoffmann , T. Leonhardt , L. Mesref , W. Ruhl

We explore the eikonal approximation to graviton exchange in AdS_5 space, as relevant to scattering in gauge theories. We restrict ourselves to the regime where conformal invariance of the dual gauge theory holds, and to large 't Hooft…

高能物理 - 理论 · 物理学 2010-01-10 Richard C. Brower , Matthew J. Strassler , Chung-I Tan

We continue to explore the possibility that the graviton in two dimensions is related to a quadratic differential that appears in the anomalous contribution of the gravitational effective action for chiral fermions. A higher dimensional…

高能物理 - 理论 · 物理学 2016-12-28 Thomas P. Branson , V. G. J. Rodgers , Takeshi Yasuda

We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2 scattering is dominated by t-channel exchange. We derive a formula for the celestial amplitude that resums exchanges of arbitrary integer spin to all orders in the…

高能物理 - 理论 · 物理学 2022-06-22 Leonardo Pipolo de Gioia , Ana-Maria Raclariu

We study a new contraction of a d+1 dimensional relativistic conformal algebra where n+1 directions remain unchanged. For n=0,1 the resultant algebras admit infinite dimensional extension containing one and two copies of Virasoro algebra,…

高能物理 - 理论 · 物理学 2009-08-11 Mohsen Alishahiha , Ali Davody , Ali Vahedi

Flat/CCFT is a correspondence between gravity in asymptotically flat backgrounds and a field theory which is given by contraction of conformal field theory. In order to find a dictionary for Flat/CCFT correspondence one can start from the…

高能物理 - 理论 · 物理学 2015-06-11 Reza Fareghbal , Ali Naseh

We study cosmological backgrounds from the point of view of the dS/CFT correspondence and its renormalization group flow extension. We focus on the case where gravity is coupled to a single scalar with a potential. Depending on the latter,…

高能物理 - 理论 · 物理学 2009-11-07 Riccardo Argurio

The dynamics of an expanding hadron fluid at temperatures below the chiral transition is studied in the framework of AdS/CFT correspondence. We establish a correspondence between the asymptotic AdS geometry in the 4+1-dimensional bulk with…

高能物理 - 理论 · 物理学 2015-04-01 Neven Bilić , Silvije Domazet , Dijana Tolić

Planar N=4 SYM theory and QCD share the gluon sector, suggesting the investigation of Gribov-Lipatov reciprocity in the supersymmetric theory. Since the AdS/CFT correspondence links N=4 SYM and superstring dynamics on AdS5xS5, reciprocity…

高能物理 - 理论 · 物理学 2010-02-18 M. Beccaria , V. Forini , G. Macorini

Trace anomaly for dilaton coupled conformal theories on curved background with non-zero dilaton is found from supergravity side as an IR effect using AdS/CFT correspondence. For $d=2$ it coincides with the conformal anomaly for dilaton…

高能物理 - 理论 · 物理学 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We study the nonforward Compton scattering in particular the deeply virtual Compton scattering from AdS/CFT. We first calculate the contributions from the s-channel and u-channel supergravity diagrams as well as the four point interaction…

高能物理 - 唯象学 · 物理学 2010-05-21 Jian-Hua Gao , Bo-Wen Xiao

We derive parity-even graviton bispectra in the Effective Field Theory of Inflation (EFToI) to all orders in derivatives. Working in perturbation theory, we construct all cubic interactions that can contribute to tree-level graviton…

高能物理 - 理论 · 物理学 2022-11-09 Giovanni Cabass , David Stefanyszyn , Jakub Supeł , Ayngaran Thavanesan