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Four-point functions of gauge-invariant operators in D=4, N=4 supersymmetric Yang-Mills theory are studied using N=2 harmonic superspace perturbation theory. The results are expressed in terms of differential operators acting on a scalar…

High Energy Physics - Theory · Physics 2009-10-31 B. Eden , P. S. Howe , C. Schubert , E. Sokatchev , P. C. West

In planar maximally supersymmetric Yang-Mills, we can compute three-point functions at weak coupling using the so-called hexagonalization formalism. The main objects in this framework are called hexagons. We are interested in two sectors of…

High Energy Physics - Theory · Physics 2023-02-24 Matheus Fabri , Gabriel Lefundes

We consider holographic three-point functions for operators dual to short string states at strong coupling in N=4 super Yang-Mills. We treat the states as point-like as they come in from the boundary but as strings in the interaction region…

High Energy Physics - Theory · Physics 2015-06-05 Joseph A. Minahan

In this paper we calculate three-string interaction from light cone string field theory in pp-wave. We find exact agreements with the free planar three point functions of non-chiral BMN operators of ${\cal N} = 4$ super Yang Mills. The…

High Energy Physics - Theory · Physics 2009-11-07 Min-xin Huang

We study the structure constants of two conformal primary operators and one spinning operator in planar $\mathcal{N} = 4$ Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for…

High Energy Physics - Theory · Physics 2025-04-11 Benjamin Basso , Alessandro Georgoudis

We consider $\alpha'$ corrections to the one-loop four-point correlator of the stress-tensor multiplet in $\mathcal{N}=4$ super Yang-Mills at order $1/N^4$. Holographically, this is dual to string corrections of the one-loop supergravity…

High Energy Physics - Theory · Physics 2021-03-16 J. M. Drummond , H. Paul

We report on a systematic study of scalar field three-point functions in planar SU(N) N=4 super Yang-Mills theory. The motivation for this work is to provide sufficient data for future conjectures on the higher-loop form of the structure…

High Energy Physics - Theory · Physics 2011-01-21 Andre Grossardt , Jan Plefka

Efficient and powerful approaches to the computation of correlation functions involving determinant, sub-determinant and permanent operators, as well as traces, have recently been developed in the setting of ${\cal N}=4$ super Yang-Mills…

High Energy Physics - Theory · Physics 2019-10-30 Gaoli Chen , Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

We consider a semiclassical multiwrapped circular string pulsating on S_5, whose center of mass has angular momentum J on an S_3 subspace. Using the AdS/CFT correspondence we argue that the one-loop anomalous dimension of the dual operator…

High Energy Physics - Theory · Physics 2010-02-03 J. Engquist , J. A. Minahan , K. Zarembo

We study the four point function of the superconformal primary of the stress-tensor multiplet in four dimensional $\mathcal{N}=4$ Super Yang Mills, at large 't Hooft coupling and in a large $N$ expansion. This observable is holographically…

High Energy Physics - Theory · Physics 2021-09-03 A. Bissi , G. Fardelli , A. Georgoudis

We derive the 3-point correlation function between two giant magnons heavy string states and the light dilaton operator with zero momentum in the \eta-deformed AdS_5 x S^5 valid for any J_1 and \eta in the semiclassical limit. We show that…

High Energy Physics - Theory · Physics 2014-12-23 Changrim Ahn , Plamen Bozhilov

Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this work, we investigate its large $N$…

High Energy Physics - Theory · Physics 2022-11-30 Yasuyuki Hatsuda , Kazumi Okuyama

In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N=4 superconformal symmetry in four dimensions. We present a compact form of all component correlators as an invariant of a…

High Energy Physics - Theory · Physics 2014-09-10 A. V. Belitsky , S. Hohenegger , G. P. Korchemsky , E. Sokatchev

We explore the recent weak/strong coupling match of three-point functions in the AdS/CFT correspondence for two semi-classical operators and one light chiral primary operator found by Escobedo et al. This match is between the tree-level…

High Energy Physics - Theory · Physics 2015-06-03 Agnese Bissi , Troels Harmark , Marta Orselli

Following the recent progress on the calculation of three-point correlators with two "heavy" (with large quantum numbers) and one "light" states at strong coupling, we compute the logarithmic divergent terms of leading bosonic quantum…

High Energy Physics - Theory · Physics 2015-05-28 D. Arnaudov , R. C. Rashkov

We construct a new representation for two- and three-point correlators of operators from sl(2) sector of planar N = 4 SYM. The spin and twist of operators are arbitrary. We start with the correlation function of light-ray operators and…

High Energy Physics - Theory · Physics 2015-06-18 Evgeny Sobko

The computation of two and three point functions in the Coulomb gas free field approach to string theory in the SL(2,R)/U(1) black hole background is reviewed. An interesting relation arises when comparing the results obtained using two…

High Energy Physics - Theory · Physics 2009-11-07 Gaston Giribet , Carmen Nunez

We explore how to compute, classically at strong coupling, correlation functions of local operators corresponding to classical spinning string states. The picture we obtain is of `fattened' Witten diagrams, the evaluation of which turns out…

High Energy Physics - Theory · Physics 2014-11-20 Romuald A. Janik , Piotr Surowka , Andrzej Wereszczynski

We consider correlation functions for string theory on AdS_3. We analyze their singularities and we provide a physical interpretation for them. We explain which worldsheet correlation functions have a sensible physical interpretation in…

High Energy Physics - Theory · Physics 2016-09-06 Juan Maldacena , Hirosi Ooguri

We provide strong evidence that all tree-level 4-point holographic correlators in AdS$_3 \times S^3$ are constrained by a hidden 6D conformal symmetry. This property has been discovered in the AdS$_5 \times S^5$ context and noticed in the…

High Energy Physics - Theory · Physics 2021-02-03 Stefano Giusto , Rodolfo Russo , Alexander Tyukov , Congkao Wen