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Using integrability techniques, we compute four-point functions of single trace gauge-invariant operators in N=4 SYM to leading order at weak coupling. Our results are valid for operators of arbitrary size. In particular, we study the limit…

High Energy Physics - Theory · Physics 2011-10-11 Joao Caetano , Jorge Escobedo

We evaluate three-point correlation functions of single trace operators in N=4 SYM at both weak and strong coupling. We focus on the case where two of the operators belong in a SL(2) sub-sector, and are dual to string solutions in a broad…

High Energy Physics - Theory · Physics 2015-05-28 George Georgiou

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

In this paper, we develop a new method of computing three-point functions in the SU(2) sector of the $\mathcal{N}=4$ super Yang-Mills theory in the semi-classical regime at weak coupling, which closely parallels the strong coupling…

High Energy Physics - Theory · Physics 2018-01-26 Yoichi Kazama , Shota Komatsu , Takuya Nishimura

Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two loop corrections…

High Energy Physics - Theory · Physics 2013-11-27 Nikolay Gromov , Pedro Vieira

We study the 3-point functions of single-trace scalar operators in a four-dimensional $\mathcal{N}=2$ SYM theory with gauge group $\mathrm{SU}(N)$ and matter in the symmetric plus anti-symmetric representation, which has a vanishing…

High Energy Physics - Theory · Physics 2022-09-07 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

Extending the methods developed in our previous works (arXiv:1110.3949, arXiv:1205.6060), we compute the three-point functions at strong coupling of the non-BPS states with large quantum numbers corresponding to the composite operators…

High Energy Physics - Theory · Physics 2014-03-26 Yoichi Kazama , Shota Komatsu

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 use Integrability techniques to compute structure constants in N=4 SYM to leading order. Three closed spin chains, which represent the single trace gauge-invariant operators in N=4 SYM, are cut into six open chains which are then sewed…

High Energy Physics - Theory · Physics 2011-09-12 Jorge Escobedo , Nikolay Gromov , Amit Sever , Pedro Vieira

Given the recent progress in computing three-point functions in N=4 SYM via integrability, I provide here a novel direct calculation of some structure constants at weak coupling. The main focus is on correlators involving more than one…

High Energy Physics - Theory · Physics 2019-05-01 Marco S. Bianchi

We compute three-point functions between one large classical operator and two large BPS operators at weak coupling. We consider operators made out of the scalars of N=4 SYM, dual to strings moving in the sphere. The three-point function…

High Energy Physics - Theory · Physics 2015-06-03 Nikolay Gromov , Amit Sever , Pedro Vieira

We give analytic expression for the three-point function of three large classical non-BPS operators N=4 Super-Yang-Mills theory at weak coupling. We restrict ourselves to operators belonging to an su(2) sector of the theory. In order to…

High Energy Physics - Theory · Physics 2013-05-30 Ivan Kostov

We calculate three-point functions of two protected operators and one twist-two operator with arbitrary even spin j in N=4 SYM theory to one-loop order. In order to carry out the calculations we project the indices of the spin j operator to…

High Energy Physics - Theory · Physics 2015-06-05 Jan Plefka , Konstantin Wiegandt

In this short note we use the flat space limit and the relation between the 4-pt correlation function of the bottom and top components of the stress tensor multiplet to constraint its stringy corrections at strong coupling in the planar…

High Energy Physics - Theory · Physics 2015-04-30 Vasco Gonçalves

We study three-point correlation functions of local operators in planar $\mathcal{N}=4$ SYM at weak coupling using integrability. We consider correlation functions involving two scalar BPS operators and an operator with spin, in the so…

High Energy Physics - Theory · Physics 2015-06-18 Pedro Vieira , Tianheng Wang

We calculate planar, tree-level, non-extremal three-point functions of operators belonging to the SU(2) x SU(2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the…

High Energy Physics - Theory · Physics 2013-02-04 Agnese Bissi , Charlotte Kristjansen , Ara Martirosyan , Marta Orselli

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

I consider three-point functions of one protected and two unprotected twist-two operators with spin in N=4 SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on…

High Energy Physics - Theory · Physics 2019-05-01 Marco S. Bianchi

We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N=4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that…

High Energy Physics - Theory · Physics 2010-02-03 Kazumi Okuyama , Li-Sheng Tseng

We consider structure constants of single-trace operators at strong coupling in planar $\mathcal{N}=4$ SYM theory using the hexagon formalism. We concentrate on heavy-heavy-light correlators where the heavy operators are BMN operators, with…

High Energy Physics - Theory · Physics 2020-05-20 Benjamin Basso , De-liang Zhong
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