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In this note we study the possible connection between functions appearing in diagrammatic expansion and the conformal correlator expansion. To study the connection we propose a generating function which can be expanded to construct a basis.…

High Energy Physics - Theory · Physics 2019-11-27 Sunny Guha , Kallol Sen

We set up a perturbative framework for the 't Hooft line in the N=4 super-Yang-Mills theory, and apply it to correlators thereof with Wilson loops and local operators. Using this formalism we obtain a number of perturbative and…

High Energy Physics - Theory · Physics 2025-01-29 Charlotte Kristjansen , Konstantin Zarembo

We study a general class of supersymmetric Wilson loops operator in N = 4 super Yang-Mills theory, obtained as orbits of conformal transformations. These loops are the natural generalization of the familiar circular Wilson-Maldacena…

High Energy Physics - Theory · Physics 2015-06-04 Valentina Cardinali , Luca Griguolo , Domenico Seminara

We review Wilson loops in N=4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence.

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

We compute the complete non-planar integrand for the correlation function of four lightest scalar operators in N=4 super Yang-Mills theory at five-loop order. This is equivalent to the super-correlator of nine stress-tensor multiplets in…

High Energy Physics - Theory · Physics 2025-12-11 Till Bargheer , Albert Bekov

We study perturbative aspects of recently proposed integrated four-point correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills with all classical gauge groups using standard Feynman diagram computations. We argue that perturbative…

High Energy Physics - Theory · Physics 2022-06-08 Congkao Wen , Shun-Qing Zhang

We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of D$p$-branes in the large-$N$ and strong-coupling limit. The relevant supergravity backgrounds…

High Energy Physics - Theory · Physics 2025-10-23 Nikolay Bobev , Guillermo Mera Álvarez , Hynek Paul

We compute the two and three-point correlation functions of chiral primary operators in the large N limit of the (0,2), d=6 superconformal theory. We also consider the operator product expansion of Wilson surfaces in the (0,2) theory and…

High Energy Physics - Theory · Physics 2009-10-31 Richard Corrado , Bogdan Florea , Robert McNees

An explicit solution is found for the most general independent correlation functions in lattice QCD$_2$ with Wilson action. The large-$N$ limit of these correlations may be used to reconstruct the eigenvalue distributions of Wilson loop…

High Energy Physics - Lattice · Physics 2009-10-28 P. Rossi , E. Vicari

Using supersymmetric localization, we consider four-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained from $\mathbb{Z}_n$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory in the large $N$ limit at weak coupling.…

High Energy Physics - Theory · Physics 2017-09-13 Alessandro Pini , Diego Rodriguez-Gomez , Jorge G. Russo

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 study a recently discovered family of 1/8-BPS supersymmetric Wilson loops in N=4 super Yang-Mills theory and their string theory duals. The operators are defined for arbitrary contours on a two-sphere in space-time, and they were…

High Energy Physics - Theory · Physics 2014-11-18 Simone Giombi , Vasily Pestun , Riccardo Ricci

Planar gluon amplitudes in N=4 SYM are remarkably similar to expectation values of Wilson loops made of light-like segments. We argue that the latter can be determined by making use of the conformal symmetry of the gauge theory, broken by…

High Energy Physics - Theory · Physics 2009-11-18 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We consider certain 1/4 BPS Wilson loop operators in SU(N) ${\cal N}=4$ supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to…

High Energy Physics - Theory · Physics 2016-04-12 Alberto Faraggi , Leopoldo A. Pando Zayas , Guillermo A. Silva , Diego Trancanelli

We consider the 1d CFT defined by the half-BPS Wilson line in planar $\mathcal{N}=4$ super Yang-Mills. Using analytic bootstrap methods we derive the four-point function of the super-displacement operator at fourth order in a strong…

High Energy Physics - Theory · Physics 2022-03-10 Pietro Ferrero , Carlo Meneghelli

We initiate an exploration of the conformal bootstrap for $n>4$ point correlation functions. Here we bootstrap correlation functions of the lightest scalar gauge invariant operators in planar non-abelian conformal gauge theories as their…

High Energy Physics - Theory · Physics 2021-03-31 Carlos Bercini , Vasco Gonçalves , Pedro Vieira

We consider correlation functions of supersymmetrized determinant operators in self-dual super Yang-Mills (SYM). These provide a generating function for correlators of arbitrary single-trace half-BPS operators, including, for appropriate…

High Energy Physics - Theory · Physics 2023-04-26 Simon Caron-Huot , Frank Coronado , Beatrix Mühlmann

We explore the duality between supersymmetric Wilson loop on null polygonal contours in maximally supersymmetric Yang-Mills theory and next-to-maximal helicity violating (NMHV) scattering amplitudes. Earlier analyses demonstrated that the…

High Energy Physics - Theory · Physics 2015-06-05 A. V. Belitsky

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

We consider the universal behavior of half-BPS correlators in $\mathcal{N}=4$ super-Yang-Mills in the cusp limit where two consecutive separations $x_{12}^2,x_{23}^2$ become lightlike. Through the Lagrangian insertion procedure, the Sudakov…

High Energy Physics - Theory · Physics 2025-02-18 Song He , Canxin Shi , Yichao Tang , Yao-Qi Zhang