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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 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 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

The order g^2 radiative corrections to all 2- and 3-point correlators of the composite primary operators Tr X^k are computed in {\cal N} = 4 supersymmetric Yang-Mills theory with gauge group SU(N). Corrections are found to vanish for all N.…

High Energy Physics - Theory · Physics 2009-10-08 Eric D'Hoker , Daniel Z. Freedman , Witold Skiba

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

We study two-point correlation functions of chiral/anti-chiral operators in SU(N) $\mathcal{N}=2$ gauge theories with massless hyper-multiplets in a representation $\mathcal{R}$ associated with a non-vanishing $\beta$-function. Using…

High Energy Physics - Theory · Physics 2025-07-04 M. Billo , L. Griguolo , A. Lerda , A. Testa

We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge…

High Energy Physics - Theory · Physics 2014-12-24 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

We consider two-point correlators in SU(N) gauge theories on R4 with N=2 supersymmetry and Nf massless hypermultiplets in the fundamental representation. Using localization on S4, we compute the leading perturbative corrections to the…

High Energy Physics - Theory · Physics 2018-03-14 M. Billo , F. Fucito , A. Lerda , J. F. Morales , Ya. S. Stanev , Congkao Wen

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

Multi-trace scalar operators in the (0,k,0) representations of SU(4)_R share many properties with their single-trace analogs. These multi-trace operators are primary fields of short representations of the N=4 superconformal group. Thus,…

High Energy Physics - Theory · Physics 2016-08-25 Witold Skiba

We show that extremal correlators of chiral primary operators in N=4 supersymmetric Yang-Mills theory with SU(N) gauge group are neither renormalised at first order in perturbation theory nor receive contribution from any instanton sector…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Bianchi , Stefano Kovacs

We consider the exact coupling constant dependence of extremal correlation functions of ${\cal N} = 2$ chiral primary operators in 4d ${\cal N} = 2$ superconformal gauge theories with gauge group SU(N) and N_f=2N massless fundamental…

High Energy Physics - Theory · Physics 2016-01-27 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

We study near-extremal n-point correlation functions of chiral primary operators, in which the maximal scale dimension k is related to the others by k=\sum_i k_i-m with m equal to or smaller than n-3. Through order g^2 in field theory, we…

High Energy Physics - Theory · Physics 2016-09-06 E. D'Hoker , J. Erdmenger , D. Z. Freedman , M. Perez-Victoria

Certain two and three point functions of gauge invariant primary operators of ${\cal N}=4$ SYM are computed in ${\cal N}=1$ superspace keeping all the $\th$-components. This allows one to read off many component descendent correlators. Our…

High Energy Physics - Theory · Physics 2009-10-31 F. Gonzalez-Rey , B. Kulik , I. Y. Park

We perform a systematic study of integrated four-point functions of half-BPS operators in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$. These observables, defined by a certain spacetime integral of…

High Energy Physics - Theory · Physics 2023-02-15 Hynek Paul , Eric Perlmutter , Himanshu Raj

We compute the coefficients of an infinite family of chiral primary operators in the local operator expansion of a circular Wilson loop in N=4 supersymmetric Yang-Mills theory. The computation sums all planar rainbow Feynman graphs. We…

High Energy Physics - Theory · Physics 2009-11-07 Gordon W. Semenoff , K. Zarembo

We study the four-point function of the lowest-lying half-BPS operators in the ${\cal N} =4$ $SU(N)$ super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-$N$…

High Energy Physics - Theory · Physics 2020-12-02 Shai M. Chester , Michael B. Green , Silviu S. Pufu , Yifan Wang , Congkao Wen

The non-renormalization of the 3-point functions $tr X^{k_1} tr X^{k_2} tr X^{k_3}$ of chiral primary operators in N=4 super-Yang-Mills theory is one of the most striking facts to emerge from the AdS/CFT correspondence. A two-fold puzzle…

High Energy Physics - Theory · Physics 2016-11-23 E. D'Hoker , D. Z. Freedman , S. D. Mathur , A. Matusis , L. Rastelli

We compute correlation functions of chiral primary operators in N=2 superconformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al. We focus on N=4 SYM as well as on…

High Energy Physics - Theory · Physics 2016-07-20 Diego Rodriguez-Gomez , Jorge G. Russo

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
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