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In this paper, we compute the correlation functions of Wilson(-'t~Hooft) loops with chiral primary operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory with $SO(N)$ gauge symmetry, which has a holographic dual description of Type…

High Energy Physics - Theory · Physics 2023-07-31 Hong-Zhe Zhang , Wan-Zhe Feng , Jun-Bao Wu

Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U(N) ${\cal N}=4$ supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from…

High Energy Physics - Theory · Physics 2009-11-07 G. Akemann , P. H. Damgaard

It has been recently proposed that string theory in the background of a plane wave corresponds to a certain subsector of the N=4 supersymmetric Yang-Mills theory. This correspondence follows as a limit of the AdS/CFT duality. As a…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

We compute two-point functions of chiral operators Tr(\Phi^k) for any k, in {\cal N}=4 supersymmetric SU(N) Yang-Mills theory. We find that up to the order g^4 the perturbative corrections to the correlators vanish for all N. The…

High Energy Physics - Theory · Physics 2009-10-31 S. Penati , A. Santambrogio , D. Zanon

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an…

High Energy Physics - Theory · Physics 2009-10-31 J. K. Erickson , G. W. Semenoff , K. Zarembo

We show that planar cal N=4 Yang-Mills theory at zero 't Hooft coupling can be efficiently described in terms of 8 bosonic and 8 fermionic oscillators. We show that these oscillators can serve as world-sheet variables, the string bits, of a…

High Energy Physics - Theory · Physics 2009-11-11 Luis F. Alday , Justin R. David , Edi Gava , K. S. Narain

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

High Energy Physics - Theory · Physics 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality…

High Energy Physics - Theory · Physics 2018-01-01 Mohamed M. Anber , Vito Pellizzani

We explore the space of non-gravitational, maximally supersymmetric, planar 4d effective field theories (EFTs) that have $\mathcal{N}=4$ super Yang-Mills (SYM) at leading order. We show that in the weakly-coupled regime, highly non-trivial…

High Energy Physics - Theory · Physics 2026-05-15 Henriette Elvang , Aidan Herderschee , Roger Morales

In earlier work we proposed a string theory dual to two dimensional Yang-Mills theory at zero coupling (which can also be thought of as a $BF$ theory), given by a Polyakov-like generalization of Ho\v rava's topological rigid string theory,…

High Energy Physics - Theory · Physics 2025-10-28 Ofer Aharony , Suman Kundu , Tal Sheaffer

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

Recently it has been proposed that the coefficient of the three-point function of the BMN operators in N=4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point…

High Energy Physics - Theory · Physics 2014-11-18 Chong-Sun Chu , Valentin V. Khoze , Gabriele Travaglini

We consider operators in ${\cal N}=4$ super Yang-Mills theory dual to closed string states propagating on a class of LLM geometries. The LLM geometries we consider are specified by a boundary condition that is a set of black rings on the…

High Energy Physics - Theory · Physics 2018-07-04 Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

For correlators in $\mathcal{N}=4$ Super Yang-Mills preserving half the supersymmetry, we manifestly recast the gauge theory Feynman diagram expansion as a sum over dual closed strings. Each individual Feynman diagram maps on to a Riemann…

High Energy Physics - Theory · Physics 2024-12-19 Rajesh Gopakumar , Rishabh Kaushik , Shota Komatsu , Edward A. Mazenc , Debmalya Sarkar

According to the AdS/CFT correspondence, the maximally supersymmetric SU(N) Yang-Mills theory in 4 dimensions is dual to the type IIB string theory compactified on AdS_5 x S^5. Most of the tests performed so far are confined to the leading…

High Energy Physics - Theory · Physics 2007-05-23 Adel Bilal , Chong-Sun Chu

In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f(g), appearing in the dimensions of high-spin operators of the N=4 SYM…

High Energy Physics - Theory · Physics 2008-11-26 M. K. Benna , S. Benvenuti , I. R. Klebanov , A. Scardicchio

This paper studies in great detail a family of supersymmetric Wilson loop operators in N=4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S^3 in space-time the loops preserve two supercharges but we will…

High Energy Physics - Theory · Physics 2008-11-26 Nadav Drukker , Simone Giombi , Riccardo Ricci , Diego Trancanelli

We consider the $\mathcal{N}=2$ quiver gauge theory arising from a $\mathbb{Z}_M$ orbifold of $\mathcal{N}=4$ Super Yang-Mills theory. Over the years, exploiting supersymmetric localization, exact expressions for several observables have…

High Energy Physics - Theory · Physics 2025-05-06 Pieter-Jan De Smet , Alessandro Pini , Paolo Vallarino

Surface operators are nonlocal probes of gauge theories capable of distinguishing phases that are not discernible by the classic Wilson-'t Hooft criterion. We prove that the correlation function of a surface operator with a chiral primary…

High Energy Physics - Theory · Physics 2024-06-14 Changha Choi , Jaume Gomis , Raquel Izquierdo García

A semiclassical string description is given for correlators of Wilson loops with local operators in N=4 SYM theory in the regime when operators carry parametrically large R-charge. The OPE coefficients of the circular Wilson loop in chiral…

High Energy Physics - Theory · Physics 2009-11-07 K. Zarembo
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