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We discuss recent results on two-point functions of chiral primary operators in {\cal N}=4 SU(N) supersymmetric Yang-Mills theory. Our results give further support to the belief that such correlators are not renormalized to all orders in g…

High Energy Physics - Theory · Physics 2007-05-23 S. Penati , A. Santambrogio , D. Zanon

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 explicitly compute the complete three-loop (O(g^4)) contribution to the four-point function of chiral primary current-like operators <(q)^2 q^2 (q)^2 q^2> in any finite N=2 SYM theory. The computation uses N=2 harmonic supergraphs in…

High Energy Physics - Theory · Physics 2009-10-31 B. Eden , C. Schubert , E. Sokatchev

Three-point functions of analytic (chiral primary) operators in N=4 Yang-Mills theory in four dimensions are calculated using the harmonic superspace formulation of this theory. In the case of the energy-momentum tensor multiplet anomaly…

High Energy Physics - Theory · Physics 2009-10-31 P. S. Howe , E. Sokatchev , P. C. West

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 compute the three-point structure constants for short primary operators of N=4 super Yang-Mills theory to leading order in the inverse coupling by mapping the problem to a flat-space string theory calculation. We check the validity of…

High Energy Physics - Theory · Physics 2018-01-18 Till Bargheer , Joseph A. Minahan , Raul Pereira

The superconformal Ward identities combined with N=2 harmonic analyticity are used to evaluate two-loop four-point correlation functions of gauge-invariant operators in D=4, N=4 supersymmetric Yang-Mills theory in terms of the well-known…

High Energy Physics - Theory · Physics 2015-06-26 B. Eden , P. S. Howe , C. Schubert , E. Sokatchev , P. C. West

Superconformal transformations are derived for the $\N=2,4 supermultiplets corresponding to the simplest chiral primary operators. These are applied to two, three and four point correlation functions. When $\N=4$, results are obtained for…

High Energy Physics - Theory · Physics 2009-11-07 F. A. Dolan , H. Osborn

The four point functions of chiral primary BPS operators in ${\cal N}=4$ superconformal Yang Mills are expressed in a form manifestly satisfying the superconformal Ward identities. They are subsequently expanded in terms of conformal…

High Energy Physics - Theory · Physics 2017-06-15 Christopher Rayson

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

We consider a family of $\mathcal{N}=2$ superconformal field theories in four dimensions, defined as $\mathbb{Z}_q$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a…

High Energy Physics - Theory · Physics 2023-01-11 Francesco Galvagno , Michelangelo Preti

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 study all three-point functions of normalized chiral operators in D=4, $\mathcal{N}=4$, U(N) supersymmetric Yang-Mills theory in the large $N$ limit. We compute them for small 't Hooft coupling $\lambda=g_{YM}^2N<<1$ using free field…

High Energy Physics - Theory · Physics 2017-09-07 Sangmin Lee , Shiraz Minwalla , Mukund Rangamani , Nathan Seiberg

We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them…

High Energy Physics - Theory · Physics 2019-06-26 M. Billo , F. Fucito , G. P. Korchemsky , A. Lerda , J. F. Morales

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 investigate various perturbative properties of the deformed N=4 SYM theory. We carry out a three-loops calculation of the chiral matter superfield propagator and derive the condition on the couplings for maintaining finiteness at this…

High Energy Physics - Theory · Physics 2009-11-11 G. C. Rossi , E. Sokatchev , Ya. S. Stanev

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 compute the one-loop four-point function in {\cal N}=4 supersymmetric Yang-Mills theory with gauge group U(N). We perform the calculation in {\cal N}=1 superspace using the background field method and obtain the complete off-shell…

High Energy Physics - Theory · Physics 2009-10-31 Alberto Santambrogio , Daniela Zanon

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, in N=4 super Yang-Mills theory, the four point correlation function of R-currents in the Regge limit in the leading logarithmic approximation at weak coupling. Such a correlator is the closest analog to photon-photon scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bartels , A. -M. Mischler , M. Salvadore
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