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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 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 propose a new framework for computing three-point functions in planar $\mathcal{N}=4$ super Yang-Mills where these correlators take the form of multiple integrals of Separation of Variables type. We test this formalism at weak coupling…

High Energy Physics - Theory · Physics 2022-11-24 Carlos Bercini , Alexandre Homrich , Pedro Vieira

We present an integrability-based conjecture for the three-point functions of single-trace operators in planar $\mathcal{N}=4$ super-Yang-Mills theory at finite coupling, in the case where two operators are protected. Our proposal is based…

High Energy Physics - Theory · Physics 2023-04-12 Benjamin Basso , Alessandro Georgoudis , Arthur Klemenchuk Sueiro

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

In a recent paper hep-th/0109064, quarter-BPS chiral primaries were constructed in the fully interacting four dimensional N=4 Super-Yang-Mills theory with gauge group SU(N). These operators are annihilated by four supercharges, and at order…

High Energy Physics - Theory · Physics 2009-11-07 Eric D'Hoker , Anton V. Ryzhov

We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that…

High Energy Physics - Theory · Physics 2019-11-13 Yunfeng Jiang , Shota Komatsu , Edoardo Vescovi

We study the three-point form factor of the length-three half-BPS operator ($\textrm{Tr}\,\phi^3$) in planar $\mathcal{N}=4$ Super-Yang-Mills theory, using analyticity and integrability methods. We find that the functions describing the…

High Energy Physics - Theory · Physics 2024-10-31 Benjamin Basso , Lance J. Dixon , Alexander G. Tumanov

We calculate the exact values of the holomorphic observables of {\cal N}=4 supersymmetric SU(N) Yang-Mills theory deformed by mass terms which preserve {\cal N}=1 SUSY. These include the chiral condensates in each massive vacuum of the…

High Energy Physics - Theory · Physics 2011-04-15 Nick Dorey , S. Prem Kumar

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

In 1012.2475 Escobedo, Gromov, Sever and Vieira suggested a formula for an SU(2) three-point correlation function at weak coupling based on integrability techniques. We generalize it to the SO(6) sector, thus including all possible…

High Energy Physics - Theory · Physics 2013-01-10 Agnese Bissi , Gianluca Grignani , A. V. Zayakin

In this paper we study the n-point correlation functions of two different families of local gauge invariant operators in N=4 supersymmetric Yang-Mills theory. The main idea is to consider the correlation functions of operators which all…

High Energy Physics - Theory · Physics 2009-04-17 Nadav Drukker , Jan Plefka

We examine the double-trace spectrum of $\mathcal{N} = 4$ super Yang-Mills theory in the supergravity limit. At large $N$ double-trace operators exhibit degeneracy. By considering free-field and tree-level supergravity contributions to…

High Energy Physics - Theory · Physics 2018-04-04 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We propose a new method for the computation of quantum three-point functions for operators in su(2) sectors of N=4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and…

High Energy Physics - Theory · Physics 2014-04-11 Yunfeng Jiang , Ivan Kostov , Florian Loebbert , Didina Serban

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

In this article, we shall develop and formulate two novel viewpoints and properties concerning the three-point functions at weak coupling in the SU(2) sector of the N = 4 super Yang-Mills theory. One is a double spin-chain formulation of…

High Energy Physics - Theory · Physics 2015-08-05 Yoichi Kazama , Shota Komatsu , Takuya Nishimura

We consider four-point functions of protected, double- and single-trace operators in the large central charge limit. We use superconformal symmetry to disentangle the contribution of protected operators in the partial wave decomposition.…

High Energy Physics - Theory · Physics 2024-12-30 Agnese Bissi , Giulia Fardelli , Andrea Manenti

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

The coupling constant dependence of correlation functions of BPS operators in N=4 Yang-Mills can be expressed in terms of integrated correlation functions. We approximate these integrated correlators by using a truncated OPE expansion. This…

High Energy Physics - Theory · Physics 2009-11-10 Anirban Basu , Michael B. Green , Savdeep Sethi

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