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We determine the 4-point correlation function and amplitude in planar, maximally supersymmetric Yang-Mills theory to 12 loops. We find that the recently-introduced 'double-triangle' rule in fact implies the previously described square and…

High Energy Physics - Theory · Physics 2025-03-21 Jacob L. Bourjaily , Song He , Canxin Shi , Yichao Tang

We compute two-point functions of chiral operators Tr \Phi^3 in {\cal N}=4 SU(N) supersymmetric Yang-Mills theory to the order g^4 in perturbation theory. We perform explicit calculations using {\cal N}=1 superspace techniques and find that…

High Energy Physics - Theory · Physics 2010-02-03 S. Penati , A. Santambrogio , D. Zanon

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of…

High Energy Physics - Theory · Physics 2009-11-07 P. J. Heslop , P. S. Howe

We report on progress toward computing a four-loop supersymmetric form factor in maximally supersymmetric Yang-Mills theory. A representative example particle content from the involved supermultiplets is a stress-tensor operator with two…

High Energy Physics - Theory · Physics 2016-07-04 Rutger H. Boels , Bernd A. Kniehl , Gang Yang

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 article, subleading (in $1/N$) corrections to the action of the one loop dilatation operator in the su(3) sector of $\mathcal{N}=4$ super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton…

High Energy Physics - Theory · Physics 2022-06-17 Chenliang Su

Null Wilson loops in $\mathcal{N}=4$ super Yang-Mills are dual to planar scattering amplitudes. This duality implies hidden symmetries for both objects. We consider closely related infrared finite observables, defined as the Wilson loop…

High Energy Physics - Theory · Physics 2022-02-14 Dmitry Chicherin , Johannes M. Henn

Correlation functions of 1/4 BPS Wilson loops with the infinite family of 1/2 BPS chiral primary operators are computed in $\mathcal{N}=4$ super Yang-Mills theory by summing planar ladder diagrams. Leading loop corrections to the sum are…

High Energy Physics - Theory · Physics 2008-11-26 Gordon W. Semenoff , Donovan Young

We present the complete integrands of five-point superamplitudes in N=4 super-Yang-Mills theory and N=8 supergravity, at one and two loops, for four-dimensional external states and D-dimensional internal kinematics. For N=4 super-Yang-Mills…

High Energy Physics - Theory · Physics 2012-01-18 John Joseph M. Carrasco , Henrik Johansson

Recently it has been proposed that the coefficient of the three-point function of the BMN operators in N=4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point…

High Energy Physics - Theory · Physics 2014-11-18 Chong-Sun Chu , Valentin V. Khoze , Gabriele Travaglini

We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections…

High Energy Physics - Theory · Physics 2015-05-19 Burkhard Eden , Gregory P. Korchemsky , Emery Sokatchev

Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate that non-extremal four-point functions of chiral primary fields are ill-defined in that…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , C. Kristjansen , J. Plefka , G. W. Semenoff , M. Staudacher

Higher-point functions of gauge invariant composite operators in N=4 super Yang-Mills theory can be computed via triangulation. The elementary tile in this process is the hexagon introduced for the evaluation of structure constants. A…

High Energy Physics - Theory · Physics 2020-10-28 Marius de Leeuw , Burkhard Eden , Dennis le Plat , Tim Meier

We consider extremal and non-extremal three-point functions of two giant gravitons and one point-like graviton using Schur polynomials in N=4 super Yang-Mills theory and holographically, using a semiclassical Born-Infeld analysis as well as…

High Energy Physics - Theory · Physics 2015-06-04 Pawel Caputa , Robert de Mello Koch , Konstantinos Zoubos

In this work, we compute the two-loop result of the null hexagonal Wilson loop with a Lagrangian insertion in planar, maximally supersymmetric Yang-Mills theory via a bootstrap approach. Normalized by the null polygonal Wilson loop itself,…

High Energy Physics - Theory · Physics 2025-05-05 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

Working within the AdS/CFT correspondence we calculate the three-point function of two giant gravitons and one pointlike graviton using methods of semiclassical string theory and considering both the case where the giant gravitons wrap an…

High Energy Physics - Theory · Physics 2011-06-28 Agnese Bissi , Charlotte Kristjansen , Donovan Young , Konstantinos Zoubos

We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in…

High Energy Physics - Theory · Physics 2021-09-09 Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

We study perturbative aspects of recently proposed integrated four-point correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills with all classical gauge groups using standard Feynman diagram computations. We argue that perturbative…

High Energy Physics - Theory · Physics 2022-06-08 Congkao Wen , Shun-Qing Zhang

We calculate the general planar dual-conformally invariant double-pentagon and pentabox integrals in four dimensions. Concretely, we derive one-fold integral representations for these elliptic integrals over polylogarithms of weight three.…

High Energy Physics - Theory · Physics 2024-10-18 Anne Spiering , Matthias Wilhelm , Chi Zhang
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