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The graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS(d+1). This enables us to complete the computation of the 4-point amplitudes of dilaton and axion fields in…

High Energy Physics - Theory · Physics 2010-04-06 Eric D'Hoker , Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

We study the exchange diagrams in the computation of four-point functions of all chiral primary operators in D=4, $\mathcal{N}=4$ Super-Yang-Mills using AdS/CFT correspondence. We identify all supergravity fields that can be exchanged and…

High Energy Physics - Theory · Physics 2017-09-07 Sangmin Lee

In this note we explicitly compute the graviton exchange graph for scalar fields with arbitrary conformal dimension \Delta in arbitrary spacetime dimension d. This results in an analytical function in \Delta as well as in d.

High Energy Physics - Theory · Physics 2008-11-26 Thorsten Leonhardt , Werner Ruehl

We discuss the properties of four-point functions in the context of the correspondence between a classical supergravity theory in the bulk of the Anti de Sitter space and quantum conformal field theory at the boundary. The contribution to a…

High Energy Physics - Theory · Physics 2009-09-17 Hong Liu , A. A. Tseytlin

We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS…

High Energy Physics - Theory · Physics 2009-11-18 León Berdichevsky , Pieter Naaijkens

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

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

We develop a formalism to evaluate generic scalar exchange diagrams in AdS_{d+1} relevant for the calculation of four-point functions in AdS/CFT correspondence. The result may be written as an infinite power series of functions of…

High Energy Physics - Theory · Physics 2016-08-25 Hong Liu

We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs in AdS and discuss their analytic properties. Using methods of conformal partial wave…

High Energy Physics - Theory · Physics 2007-05-23 L. Hoffmann , A. C. Petkou , W. Ruehl

In this paper we compute the tree-level four-point scattering amplitude of two dilatini and two axion-dilaton fields in type IIB supergravity in AdS5 x S5. A special feature of this process is that there is an "exotic" channel in which…

High Energy Physics - Theory · Physics 2008-11-26 Linda I. Uruchurtu

We study real-time holographic four point Wightman functions involving scalars, photons, gluons and gravitons in the Poincare patch of AdS$_4$. We show that when the momenta of the middle two operators are spacelike, four-point exchange…

High Energy Physics - Theory · Physics 2025-12-05 Arhum Ansari , Sachin Jain , Dhruva K. S

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

We study the amplitude for exchange of massless gauge bosons between pairs of massive scalar fields in Anti-de Sitter space. In the AdS/CFT correspondence this amplitude describes the contribution of conserved flavor symmetry currents to…

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

Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to…

High Energy Physics - Theory · Physics 2009-05-29 Anastasia Volovich , Congkao Wen

We determine the AdS exchange diagrams needed for the computation of 4--point functions of chiral primary operators in the SCFT_2 dual to the D=6 N=4b supergravity on the AdS_3\times S^3 background and compute the corresponding cubic…

High Energy Physics - Theory · Physics 2014-11-18 G. Arutyunov , A. Pankiewicz , S. Theisen

We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on AdS_5\times S^5 background coincides with the relevant part of the action of the gauged N=8 5d…

High Energy Physics - Theory · Physics 2014-11-18 G. Arutyunov , S. Frolov

Four point functions of general N=4 1/2-BPS primary fields, satisfying the next-next-to-extremality condition \Delta_{1}+\Delta_{2}+\Delta_{3}-\Delta_{4}=4 are studied at large N and strong coupling. We apply new techniques to evaluate the…

High Energy Physics - Theory · Physics 2015-05-28 Linda I. Uruchurtu

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…

High Energy Physics - Theory · Physics 2025-07-02 Shai M. Chester , Rishi Mouland , Jesse van Muiden

Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in $AdS_{d+1}$ to the four-point function with scalar operators on the boundary. As an important ingredient, we first compute the complete…

High Energy Physics - Theory · Physics 2014-12-25 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo
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