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We study five-point off-shell conformal integrals and the associated half-BPS correlation functions at two loops in the 't Hooft coupling expansion of maximally supersymmetric Yang-Mills theory. We construct a basis of…

High Energy Physics - Theory · Physics 2026-04-14 Chia-Kai Kuo , Qinglin Yang

We consider correlation functions of topologically twisted, $\mathcal{N}=2$ supersymmetric Yang-Mills theory with gauge group ${\rm SU}(2)$ and $N_f\leq 3$ massive hypermultiplets in the fundamental representation. For a smooth, compact,…

High Energy Physics - Theory · Physics 2026-02-25 Elias Furrer , Jan Manschot

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 develop new techniques for computing exact correlation functions of a class of local operators, including certain monopole operators, in three-dimensional $\mathcal{N} = 4$ abelian gauge theories that have superconformal infrared limits.…

High Energy Physics - Theory · Physics 2025-02-18 Mykola Dedushenko , Yale Fan , Silviu S. Pufu , Ran Yacoby

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

We study the structure constants of two conformal primary operators and one spinning operator in planar $\mathcal{N} = 4$ Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for…

High Energy Physics - Theory · Physics 2025-04-11 Benjamin Basso , Alessandro Georgoudis

We compute form factors in planar N=4 Super Yang-Mills at strong coupling. Namely we consider the overlap between an operator insertion and 2n gluons. Through the gauge/string duality these are given by minimal surfaces in AdS space. The…

High Energy Physics - Theory · Physics 2010-11-26 Juan Maldacena , Alexander Zhiboedov

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

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

We present the computation of all the correlators of 1/2-BPS operators in $\mathcal{N} = 4$ SYM with weights up to 8 as well as some very high-weight correlation functions from the effective supergravity action. The computation is done by…

High Energy Physics - Theory · Physics 2018-10-17 Gleb Arutyunov , Rob Klabbers , Sergei Savin

We consider a semiclassical (large string tension ~ \lambda^1/2) limit of 4-point correlator of two "heavy" vertex operators with large quantum numbers and two "light" operators. It can be written in a factorized form as a product of two…

High Energy Physics - Theory · Physics 2011-03-18 E. I. Buchbinder , A. A. Tseytlin

The four-point correlation function of two 1/2 BPS primaries of conformal weight $\Delta=2$ and two 1/2-BPS primaries of conformal weight $\Delta=n$ is calculated in the large 't Hooft, large $N$ limit. These operators are dual to…

High Energy Physics - Theory · Physics 2009-04-02 Linda I. Uruchurtu

We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and…

High Energy Physics - Theory · Physics 2019-10-02 Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

We study in detail the analytic properties of the Thermodynamic Bethe Ansatz (TBA) equations for the anomalous dimensions of composite operators in the planar limit of the 3D N=6 superconformal Chern-Simons gauge theory and derive…

High Energy Physics - Theory · Physics 2015-06-16 Andrea Cavaglia' , Davide Fioravanti , Roberto Tateo

We develop semiclassical methods to analyze the spectrum of BPS monopole operators for superconformal field theories in three dimensions with N=2 supersymmetry. We show that the chiral ring of the theory results from the semiclassical…

High Energy Physics - Theory · Physics 2015-05-30 David Berenstein , Mauricio Romo

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 develop a systematic method to constrain any n-point correlation function of spinning operators in Large N Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which…

High Energy Physics - Theory · Physics 2024-03-26 Prabhav Jain , Sachin Jain , Bibhut Sahoo , Dhruva K. S , Aashna Zade

In this paper we study the three-point correlation functions of two scalar operators with large conformal dimensions and the R-current or stress-energy tensor at strong coupling with the help of the AdS_4/CFT_3 correspondence. The scalar…

High Energy Physics - Theory · Physics 2013-07-23 D. Arnaudov

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

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a…

High Energy Physics - Theory · Physics 2011-10-06 Plamen Bozhilov