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In this note we establish the explicit relation between correlation functions in ${\cal N} = 4$ SUSY Yang--Mills theory on $S^3\times R$ in a double scaling limit and scattering amplitudes of the String Theory on the pp-wave background. The…

High Energy Physics - Theory · Physics 2007-05-23 E. T. Akhmedov

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

This is the second part of the paper 0709.3806v2. Here we show that three-point correlation function with one semi-degenerate field in Toda field theory as well as four-point correlation function with one completely degenerate and one…

High Energy Physics - Theory · Physics 2009-02-12 V. A. Fateev , A. V. Litvinov

We study half-BPS surface operators in supersymmetric gauge theories in four and five dimensions following two different approaches. In the first approach we analyze the chiral ring equations for certain quiver theories in two and three…

High Energy Physics - Theory · Physics 2018-01-17 S. K. Ashok , M. Billo , E. Dell'Aquila , M. Frau , V. Gupta , R. R. John , A. Lerda

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_5 \times T^(1,1), and examine the suggested…

High Energy Physics - Theory · Physics 2015-05-30 Michal Michalcik , Radoslav C. Rashkov , Maria Schimpf

Operators in N=4 super Yang-Mills theory with an R-charge of O(N^2) are dual to backgrounds which are asymtotically AdS5xS5. In this article we develop efficient techniques that allow the computation of correlation functions in these…

High Energy Physics - Theory · Physics 2011-04-28 Robert de Mello Koch , Norman Ives , Michael Stephanou

Seven-point amplitudes in planar ${\cal N}=4$ super-Yang-Mills theory have previously been constructed through four loops using the Steinmann cluster bootstrap, but only at the level of the symbol. We promote these symbols to actual…

High Energy Physics - Theory · Physics 2020-10-28 Lance J. Dixon , Yu-Ting Liu

This work is devoted to the six-gluon scattering amplitude in strongly coupled N=4 supersymmetric Yang-Mills theory. At weak coupling, an appropriate high energy limit of the so-called remainder function, i.e. of the deviation from the BDS…

High Energy Physics - Theory · Physics 2011-02-01 J. Bartels , J. Kotanski , V. Schomerus

We consider scalar local operators of the determinant type in the conformal ``fishnet'' theory that arises as a limit of gamma-deformed $\mathcal{N}=4$ super Yang-Mills theory. We generalise a field-theory approach to expand their…

High Energy Physics - Theory · Physics 2022-06-17 Omar Shahpo , Edoardo Vescovi

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

We investigate the analytic structure of thermal energy-momentum tensor correlators at large but finite coupling in quantum field theories with gravity duals. We compute corrections to the quasinormal spectra of black branes due to the…

High Energy Physics - Theory · Physics 2016-10-18 Sašo Grozdanov , Nikolaos Kaplis , Andrei O. Starinets

We show which multi-trace structures are compatible with the symmetrisation of local operators in \cN=4 super Yang-Mills when they are organised into representations of the global symmetry group. Cut-and-join operators give the non-planar…

High Energy Physics - Theory · Physics 2010-05-27 T. W. Brown

A systematic construction is presented of 1/4 BPS operators in N=4 superconformal Yang-Mills theory, using either analytic superspace methods or components. In the construction, the operators of the classical theory annihilated by 4 out of…

High Energy Physics - Theory · Physics 2009-11-10 E. D'Hoker , P. Heslop , P. Howe , A. V. Ryzhov

We study particular integrated correlation functions of two superconformal primary operators of the stress tensor multiplet in the presence of a half-BPS line defect labelled by electromagnetic charges $(p,q)$ in $\mathcal{N}=4$…

High Energy Physics - Theory · Physics 2024-09-20 Daniele Dorigoni , Zhihao Duan , Daniele R. Pavarini , Congkao Wen , Haitian Xie

We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a $1/3$-BPS single-trace chiral primary…

High Energy Physics - Theory · Physics 2026-01-21 Xiao-Yi Zhang , Yunfeng Jiang , Jun-Bao Wu

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of N=4 SYM in twistor space. It yields the correlation functions in the Born approximation…

High Energy Physics - Theory · Physics 2015-04-15 D. Chicherin , R. Doobary , B. Eden , P. Heslop , G. P. Korchemsky , L. Mason , E. Sokatchev

The path integral computation of field strength correlation functions for two dimensional Yang-Mills theories over Riemann surfaces is studied. The calculation is carried out by abelianization, which leads to correlators that are…

High Energy Physics - Theory · Physics 2009-10-28 J. P. Nunes , H. J. Schnitzer

N=2 four dimensional gauge theories admit interesting half BPS surface operators preserving a (2,2) two dimensional SUSY algebra. Typical examples are (2,2) 2d sigma models with a flavor symmetry which is coupled to the 4d gauge fields.…

High Energy Physics - Theory · Physics 2015-05-14 Davide Gaiotto

Two-point correlation functions of spin operators in the minimal models ${{\cal M}}_{p,p'}$ perturbed by the field $\Phi_{13}$ are studied in the framework of conformal perturbation theory. The first-order corrections for the structure…

High Energy Physics - Theory · Physics 2015-06-26 A. A. Belavin , V. A. Belavin , A. V. Litvinov , Y. P. Pugai , Al. B. Zamolodchikov

The exact localization result for the expectation value of the $1\over 2$ BPS circular Wilson loop in ${\cal N}=4$ SYM theory is given in the planar limit by the famous Bessel function expression: $\langle W\rangle = {2N\over \sqrt \lambda…

High Energy Physics - Theory · Physics 2026-03-10 Matteo Beccaria , Stefan A. Kurlyand , Arkady A. Tseytlin
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