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We present a comprehensive two-loop computation of correlation functions involving two maximal giant gravitons and two arbitrary $R$-charge single-trace half-BPS operators in $\mathcal{N}=4$ Super-Yang-Mills theory. By combining the…

High Energy Physics - Theory · Physics 2025-09-30 Yu Wu , Yunfeng Jiang , Chang Liu , Yang Zhang

We develop bootstrap methods for mixed heavy-light four-point correlators $\langle GGOO\rangle$ in $\mathcal N=4$ super-Yang--Mills theory at large $N$, where $O\equiv {\cal O}_2$ is the chiral primary operator in the stress-tensor…

High Energy Physics - Theory · Physics 2026-05-18 Song He , Canxin Shi , Yichao Tang , Congkao Wen

We develop a compact representation of the one-loop n-point functions of all chiral primary operators in planar SU(N), N=4 super Yang-Mills theory in terms of tree-level disk correlation functions and the scalar one-loop box integral. As a…

High Energy Physics - Theory · Physics 2011-06-24 Nadav Drukker , Jan Plefka

We compute the integrands of five-, six-, and seven-point correlation functions of twenty-prime operators with general polarizations at the two-loop order in N=4 super Yang-Mills theory. In addition, we compute the integrand of the…

High Energy Physics - Theory · Physics 2023-08-02 Till Bargheer , Thiago Fleury , Vasco Gonçalves

In the context of planar conformal gauge theory, we study five-point correlation functions between the interaction Lagrangian and four of the lightest single-trace, gauge-invariant scalar primaries. After performing two light-cone OPEs, we…

High Energy Physics - Theory · Physics 2025-04-16 Till Bargheer , Carlos Bercini , Bruno Fernandes , Vasco Gonçalves , Jeremy Mann

We consider higher-point generalizations of the "octagon" large-charge four-point function in planar N=4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of…

High Energy Physics - Theory · Physics 2026-01-23 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

We study the four-point correlator $\langle \mathcal{O}_2 \mathcal{O}_2 \mathcal{D} \mathcal{D} \rangle$ in $\mathcal{N}=4$ super Yang-Mills theory (SYM) with $SU(N)$ gauge group, where $\mathcal{O}_2$ represents the superconformal primary…

High Energy Physics - Theory · Physics 2024-04-10 Augustus Brown , Francesco Galvagno , Congkao Wen

A new derivation is given of four-point functions of charge $Q$ chiral primary multiplets in N=4 supersymmetric Yang-Mills theory. A compact formula, valid for arbitrary $Q$, is given which is manifestly superconformal and analytic in the…

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

We discuss recent progress in the determination of correlators of chiral primary operators in N=4 Super-Yang-Mills theory, based on a combination of superconformal covariance arguments in N=2 harmonic superspace, and Intriligator's…

High Energy Physics - Theory · Physics 2007-05-23 B. Eden , C. Schubert , E. Sokatchev

We study the OPE of correlation functions of local operators in planar N=4 super Yang-Mills theory. The considered operators have an explicit spacetime dependence that is defined by twisting the translation generators with certain…

High Energy Physics - Theory · Physics 2018-01-18 Till Bargheer

We study correlation functions on the Coulomb branch of planar $\mathcal{N} = 4$ super-Yang- Mills theory (SYM), and their relationship with integrability, the operator product expansion (OPE), the sum rule, the large charge expansion, and…

High Energy Physics - Theory · Physics 2024-09-12 Vyacheslav Ivanovskiy , Shota Komatsu , Victor Mishnyakov , Nikolay Terziev , Nikita Zaigraev , Konstantin Zarembo

We report on a systematic perturbative study of three-point functions in planar SU(N) N=4 super Yang-Mills theory at the one-loop level involving scalar field operators up to length five. For this we have computed a sample of 40 structure…

High Energy Physics - Theory · Physics 2015-06-03 George Georgiou , Valeria Gili , Andre Grossardt , Jan Plefka

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

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity…

High Energy Physics - Theory · Physics 2016-08-24 Dmitry Chicherin , James Drummond , Paul Heslop , Emery Sokatchev

We evaluated all two loop conformal integrals appearing in five point correlation functions of protected operators of $\mathcal{N} = 4$ Super Yang-Mills in several kinematical regimes. Starting from the correlation function of the lightest…

High Energy Physics - Theory · Physics 2024-01-12 Carlos Bercini , Bruno Fernandes , Vasco Gonçalves

We calculate the four-point correlation function of half-BPS operators with weights 2, 3, 3, 4 in N=4 SYM to two-loop order. The OPE of this correlation function provides a nontrivial check of the integrability conjecture for a class of…

High Energy Physics - Theory · Physics 2015-06-22 Dmitry Chicherin , Emery Sokatchev

We present a compact formula, expressed in terms of classical polylogarithms up to weight three, for the leading order four-point energy correlator in maximally supersymmetric Yang-Mills theory, in the limit where the four detectors are…

High Energy Physics - Theory · Physics 2024-01-15 Dmitry Chicherin , Ian Moult , Emery Sokatchev , Kai Yan , Yunyue Zhu

We present the full form of a four-point correlation function of large BPS operators in planar N = 4 Super Yang-Mills to any loop order. We do this by following a bootstrap philosophy based on three simple axioms pertaining to (i) the space…

High Energy Physics - Theory · Physics 2020-05-06 Frank Coronado

We compute one-loop corrections to the OPE of gluons in the celestial conformal field theory corresponding to Yang-Mills coupled to arbitrary matter. We exploit universal hard/soft factorization to derive an IR finite OPE for the hard gluon…

High Energy Physics - Theory · Physics 2022-12-21 Rishabh Bhardwaj , Luke Lippstreu , Lecheng Ren , Marcus Spradlin , Akshay Yelleshpur Srikant , Anastasia Volovich

We perform a numerical bootstrap study of the mixed correlator system containing the half-BPS operators of dimension two and three in $\mathcal N = 4$ Super Yang-Mills. This setup improves on previous works in the literature that only…

High Energy Physics - Theory · Physics 2021-06-02 Agnese Bissi , Andrea Manenti , Alessandro Vichi
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