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For ${\cal N}=2^*$ theory with $U(N)$ gauge group we evaluate expectation values of Wilson loops in representations described by a rectangular Young tableau with $n$ rows and $k$ columns. The evaluation reduces to a two-matrix model and we…

High Energy Physics - Theory · Physics 2018-02-14 James T. Liu , Leopoldo A. Pando Zayas , Shan Zhou

The AdS/CFT correspondence predicts a phase transition in Wilson loop correlators in the strong coupling N=4, D=4 SYM theory which arises due to instability of the classical string stretched between the loops. We study this transition in…

High Energy Physics - Theory · Physics 2009-10-31 K. Zarembo

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

In this paper, we investigate the 1/4 BPS Wilson-'t Hooft loops in $\mathcal{N}$=4 supersymmetric Yang-Mills theory. We use the bulk D3-brane solutions with both electric and magnetic charges on its world-volume to describe some of 1/4 BPS…

High Energy Physics - Theory · Physics 2015-09-15 Chang-Yong Liu , Li Qin

A novel approach that does not rely on supersymmetry, nor in the AdS/CFT correspondence, to evaluate the Wilson loops asociated with a gauge theory of area-preserving diffeomorphisms in terms of pure string degrees of freedoms is presented.…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Castro

We study a class of Wilson Loops in N =4, D=4 Yang-Mills theory belonging to the chiral ring of a N=2, d=1 subalgebra. We show that the expectation value of these loops is independent of their shape. Using properties of the chiral ring, we…

High Energy Physics - Theory · Physics 2009-11-10 Z. Guralnik , B. Kulik

We consider the 1/2 BPS circular Wilson loop in a generic N=2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite $N$ and in the large-N limit, using the interacting matrix model provided by…

High Energy Physics - Theory · Physics 2019-10-17 M. Billo , F. Galvagno , A. Lerda

A closed expression of the Euclidean Wilson-loop functionals is derived for pure Yang-Mills continuum theories with gauge groups $SU(N)$ and $U(1)$ and space-time topologies $\Rl^1\times\Rl^1$ and $\Rl^1\times S^1$. (For the $U(1)$ theory,…

High Energy Physics - Theory · Physics 2009-10-30 Abhay Ashtekar , Jurek Lewandowski , Donald Marolf , José Mourão , Thomas Thiemann

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

We bootstrap loop corrections to AdS${}_5$ supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. In particular this yields much…

High Energy Physics - Theory · Physics 2018-02-14 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We show that the large N partition functions and Wilson loop observables of two-dimensional Yang-Mills theories admit a universal functional form irrespective of the gauge group. We demonstrate that U(N) QCD_2 undergoes a large N,…

High Energy Physics - Theory · Physics 2015-06-26 Michael Crescimanno , Howard J. Schnitzer

We calculate Wilson loop (quark anti-quark potential) in dS/CFT correspondence. The brane-world model is considered where bulk is two 5d Euclidean de Sitter spaces and boundary (brane) is 4d de Sitter one. Starting from the Nambu-Goto…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We consider $U(N)$ $\mathcal N=4$ super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $\frac{1}{2}$-BPS Wilson loop. Our approach is based on a suitable saddle…

High Energy Physics - Theory · Physics 2021-05-12 Matteo Beccaria , Azeem Hasan

The evaluation of BPS Wilson loops in N=6, D=3 Chern-Simons matter theory is reduced to ordinary matrix integrals via localization technique. It is easy to check that the vacuum expectation value of 1/2 BPS Wilson loops at leading order in…

High Energy Physics - Theory · Physics 2015-06-04 Hyojoong Kim , Nakwoo Kim , Jung Hun Lee

We study an ${\cal N}=1$ supersymmetric Yang-Mills theory defined on $M^4\times S^1$. The vacuum expectation values for adjoint scalar field in vector multiplet, though important, has been overlooked in evaluating one-loop effective…

High Energy Physics - Theory · Physics 2009-11-10 Naoyuki Haba , Kazunori Takenaga , Toshifumi Yamashita

We recently derived a new action for gluodynamics by canonically transforming the Yang-Mills action on light-cone. The transformation elimated triple gluons vertices and replaced the gauge fields with Wilson lines. This greatly reduced the…

High Energy Physics - Theory · Physics 2024-05-21 Bartosz Grygielski , Hiren Kakkad , Piotr Kotko

We continue our study of large charge limits of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this paper, we compute $1/J$ corrections to the correlation function of two…

High Energy Physics - Theory · Physics 2022-08-24 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

A light-like Wilson loop is computed in perturbation theory up to ${\cal O} (g^4)$ for pure Yang--Mills theory in 1+1 dimensions, using Feynman and light--cone gauges to check its gauge invariance. After dimensional regularization in…

High Energy Physics - Theory · Physics 2009-10-28 A. Bassetto , F. De Biasio , L. Griguolo

Following hep-th/0001204 we discuss the computation of quantum corrections near long IIB superstring configurations in AdS_5 x S^5 which are related to the Wilson loop expectation values in the strong coupling expansion of the dual n=4 SYM…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

We calculate the total cross section for the scattering of a quark--anti-quark dipole on a large nucleus at high energy for a strongly coupled N=4 super Yang-Mills theory using AdS/CFT correspondence. We model the nucleus by a metric of a…

High Energy Physics - Theory · Physics 2009-11-13 Javier L. Albacete , Yuri V. Kovchegov , Anastasios Taliotis