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Related papers: Light-like Wilson loop correlators

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In recent work we began a study of the correlators of multiple light-like Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory, focussing primarily on tree-level calculations and, beyond tree-level, to the Abelian theory. Here we…

High Energy Physics - Theory · Physics 2026-02-02 James Drummond , Matthew Rochford , Rowan Wright

We show that a certain class of light-like Wilson loops exhibits a Yangian symmetry at one loop, or equivalently, in an Abelian theory. The Wilson loops we discuss are equivalent to one-loop MHV amplitudes in N=4 super Yang-Mills theory in…

High Energy Physics - Theory · Physics 2015-05-20 J. M. Drummond , L. Ferro , E. Ragoucy

We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external…

High Energy Physics - Theory · Physics 2016-12-16 Dmitry Chicherin , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level…

High Energy Physics - Theory · Physics 2012-06-18 Niklas Beisert , Song He , Burkhard U. W. Schwab , Cristian Vergu

We consider the duality between the four-dimensional S-matrix of planar maximally supersymmetric Yang-Mills theory and the expectation value of polygonal shaped Wilson loops in the same theory. We extend the duality to amplitudes with…

High Energy Physics - Theory · Physics 2011-07-19 Simon Caron-Huot

We propose and discuss a new approach to the analysis of the correlation functions which contain light-like Wilson lines or loops, the latter being cusped in addition. The objects of interest are therefore the light-like Wilson…

High Energy Physics - Phenomenology · Physics 2013-03-12 I. O. Cherednikov , T. Mertens , F. F. Van der Veken

We extend the recently discovered duality between MHV amplitudes and the light-cone limit of correlation functions of a particular type of local scalar operators to generic non-MHV amplitudes in planar N=4 SYM theory. We consider the…

High Energy Physics - Theory · Physics 2015-05-27 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We consider the ratio of the correlation function of n+1 local operators over the correlator of the first n of these operators in planar N=4 super-Yang-Mills theory, and consider the limit where the first n operators become pairwise null…

High Energy Physics - Theory · Physics 2015-05-30 Tim Adamo

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution…

High Energy Physics - Theory · Physics 2019-11-20 Wolfgang Mück

We work out the map between null polygonal hexagonal Wilson loops and spinning three point functions in large $N$ conformal gauge theories by mapping the variables describing the two different physical quantities and by working out the…

High Energy Physics - Theory · Physics 2022-08-10 Carlos Bercini , Vasco Gonçalves , Alexandre Homrich , Pedro Vieira

We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills theory which is the natural object dual to the AdS_5 x S^5 superstring in the AdS/CFT correspondence. It generalizes the traditional bosonic 1/2 BPS…

High Energy Physics - Theory · Physics 2016-01-05 Niklas Beisert , Dennis Muller , Jan Plefka , Cristian Vergu

We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find…

High Energy Physics - Theory · Physics 2010-11-04 Roman Andree , Donovan Young

We consider the correlator <W_n O(x)> of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or the chiral primary scalar) in planar N =4 super Yang-Mills theory. As a consequence of conformal symmetry,…

High Energy Physics - Theory · Physics 2015-05-28 L. F. Alday , E. I. Buchbinder , A. A. Tseytlin

We compute for the first time the two-loop corrections to arbitrary n-gon lightlike Wilson loops in N=4 supersymmetric Yang-Mills theory, using efficient numerical methods. The calculation is motivated by the remarkable agreement between…

High Energy Physics - Theory · Physics 2010-06-29 Charalampos Anastasiou , Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Bill Spence , Gabriele Travaglini

We classify bosonic $\mathcal{N}=(2,2)$ supersymmetric Wilson loops on arbitrary backgrounds with vector-like R-symmetry. These can be defined on any smooth contour and come in two forms which are universal across all backgrounds. We show…

High Energy Physics - Theory · Physics 2019-07-31 Rodolfo Panerai , Matteo Poggi , Domenico Seminara

In this work, we compute the two-loop result of the null hexagonal Wilson loop with a Lagrangian insertion in planar, maximally supersymmetric Yang-Mills theory via a bootstrap approach. Normalized by the null polygonal Wilson loop itself,…

High Energy Physics - Theory · Physics 2025-05-05 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

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

A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yang-Mills. At six-point two-loop, the results for the planar gluon MHV amplitude and for the light-like Wilson loop…

High Energy Physics - Theory · Physics 2011-02-28 Jian-Hui Zhang

We study the quantum properties of certain BPS Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on…

High Energy Physics - Theory · Physics 2014-11-18 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara

Wilson loops with lightlike polygonal contours have been conjectured to be equivalent to MHV scattering amplitudes in N=4 super Yang-Mills. We compute such Wilson loops for special polygonal contours at two loops in perturbation theory.…

High Energy Physics - Theory · Physics 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini
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