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Related papers: A note on four-point correlators of half-BPS opera…

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We study the structure of the four-point correlation function of the lowest-dimension 1/2 BPS operators (stress-tensor multiplets) in the (2,0) six-dimensional theory. We first discuss the superconformal Ward identities and the…

High Energy Physics - Theory · Physics 2015-06-26 G. Arutyunov , E. Sokatchev

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

The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S^5 is a starting point for computing the four-point correlation functions of arbitrary weight 1/2-BPS…

High Energy Physics - Theory · Physics 2017-04-26 Gleb Arutyunov , Sergey Frolov , Rob Klabbers , Sergei Savin

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 give a general analysis of OPEs of 1/2 BPS superfield operators for the $D=3,4,5,6$ superconformal algebras OSp(8/4,R), PSU(2,2), F${}_4$ and OSp($8^*/4$) which underlie maximal AdS supergravity in $4\leq D+1\leq 7$. \\ The corresponding…

High Energy Physics - Theory · Physics 2008-11-26 Sergio Ferrara , Emery Sokatchev

We study the three-point functions between two BPS and one non-BPS local gauge invariant operators in N=4 Super Yang-Mills theory. In particular we show, in explicit 1-loop examples, that the operator mixing discussed in arXiv:0810.0499…

High Energy Physics - Theory · Physics 2014-11-20 George Georgiou , Valeria L. Gili , Rodolfo Russo

We revisit the calculation of holographic correlators for eleven-dimensional supergravity on $AdS_7\times S^4$. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the…

High Energy Physics - Theory · Physics 2018-08-01 Leonardo Rastelli , Xinan Zhou

We describe a new approach to computing the chiral part of correlation functions of stress-tensor supermultiplets in N=4 SYM that relies on symmetries, analytic properties and the structure of the OPE only. We demonstrate that the…

High Energy Physics - Theory · Physics 2016-03-23 Dmitry Chicherin , Reza Doobary , Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We evaluated all two-loop conformal integrals of scalar half-BPS six-point functions in $\mathcal{N} = 4$ SYM restricted to a configuration where all points lie on a line. Moreover, we also computed some of these integrals in the…

High Energy Physics - Theory · Physics 2024-02-14 Ricardo Rodrigues

We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor…

High Energy Physics - Theory · Physics 2026-04-01 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

We start a systematic study of quarter-BPS operators in four-dimensional $\mathcal{N}=4$ Super Yang-Mills with gauge group $\mathrm{SU}(N)$ making use of recently developed tools in conformal field theory. We adapt the technology of…

High Energy Physics - Theory · Physics 2022-04-20 Agnese Bissi , Giulia Fardelli , Andrea Manenti

We compute 4-point correlators in $\mathcal{N} = 4$ $SU(N)$ Super-Yang-Mills with both single and double-particle $1/2$-BPS operators in the regime of large 't Hooft coupling and large $N$. In particular we give explicit expressions up to…

High Energy Physics - Theory · Physics 2025-07-18 Francesco Aprile , Stefano Giusto , Rodolfo Russo

An expression for the four point function for half-BPS operators belonging to the [0,p,0] SU(4) representation in N=4 superconformal theories at strong coupling in the large N limit is suggested for any p. It is expressed in terms of the…

High Energy Physics - Theory · Physics 2008-11-26 F. A. Dolan , M. Nirschl , H. Osborn

We initiate the study of four-point functions of large BPS operators at any value of the coupling. We do it by casting it as a sum over exchange of superconformal primaries and computing the structure constants using integrability. Along…

High Energy Physics - Theory · Physics 2019-01-23 Benjamin Basso , Frank Coronado , Shota Komatsu , Ho Tat Lam , Pedro Vieira , De-liang Zhong

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 compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system…

Mathematical Physics · Physics 2020-08-26 Federico Camia , Valentino F. Foit , Alberto Gandolfi , Matthew Kleban

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 four-point functions with two maximal giant gravitons and two chiral primary operators at three-loop order in planar $\mathcal{N}=4$ Super-Yang-Mills theory. The Lagrangian insertion method, together with symmetries of the theory…

High Energy Physics - Theory · Physics 2023-12-12 Yunfeng Jiang , Yu Wu , Yang Zhang

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

In this note we study half-BPS operators in N=4 super Yang-Mills for gauge group SU(N) at finite N. In particular we elaborate on the results of hep-th/0410236, providing an exact formula for the null basis operators algorithmically…

High Energy Physics - Theory · Physics 2009-01-16 T. W. Brown