English
Related papers

Related papers: The Wilson Loop -- Large Spin OPE Dictionary

200 papers

We study the algebra of BPS Wilson loops in 3d gauge theories with N=2 supersymmetry and Chern-Simons terms. We argue that new relations appear on the quantum level, and that in many cases this makes the algebra finite-dimensional. We use…

High Energy Physics - Theory · Physics 2013-02-12 Anton Kapustin , Brian Willett

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 study double-winding Wilson loops in $SU(N)$ lattice Yang-Mills gauge theory by using both strong coupling expansions and numerical simulations. First, we examine how the area law falloff of a ``coplanar'' double-winding Wilson loop…

High Energy Physics - Lattice · Physics 2020-12-30 Seikou Kato , Akihiro Shibata , Kei-Ichi Kondo

We consider higher-point generalizations of the "octagon" large-charge four-point function in planar N=4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of…

High Energy Physics - Theory · Physics 2026-01-23 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

We calculate various Wilson loop averages in a pure $SU(N)$-gauge theory on a two-dimensional sphere, in the large $N$ limit. The results can be expressed through the density of rows in the most probable Young tableau. They are valid in…

High Energy Physics - Theory · Physics 2009-10-22 Jean-Marc DAUL , Vladimir A. KAZAKOV

We study four-dimensional $\mathcal{N}=2$ supersymmetric $U(N)$ gauge theory with $2N$ fundamental hypermultiplets in the self-dual $\Omega$-background. The partition function simplifies at special points of the parameter space and is…

High Energy Physics - Theory · Physics 2017-07-19 Xinyu Zhang

We compute analytically the two-loop contribution to the correlation function of the Lagrangian with a four-sided light-like (or null) Wilson loop in N=4 super Yang-Mills. As a non-trivial test of our result, we reproduce the three-loop…

High Energy Physics - Theory · Physics 2013-10-17 Luis F. Alday , Johannes M. Henn , Jakub Sikorowski

We propose an alternative method to study the saddle point equation in the strong coupling limit for the Wilson loop in $\mathcal{N}=2$ D=4 super Yang-Mills with an SU(N) gauge group and 2N hypermultiplets. This method is based on an…

High Energy Physics - Theory · Physics 2015-06-03 Jean-Emile Bourgine

In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N=4 super Yang-Mills theory. This is done using the recently established relation between higher…

High Energy Physics - Theory · Physics 2009-11-11 Simone Giombi , Riccardo Ricci , Diego Trancanelli

We present results for Wilson loops in strongly coupled gauge theories. The loops may be taken around an arbitrarily shaped contour and in any field theory with a dual IIB geometry of the form M x S^5. No assumptions about supersymmetry are…

High Energy Physics - Theory · Physics 2008-11-26 Sean A. Hartnoll

We formulate the canonical structure of Yang--Mills theory in terms of Poisson brackets of gauge invariant observables analogous to Wilson loops. This algebra is non--trivial and tractable in a light--cone formulation. For U(N) gauge…

High Energy Physics - Theory · Physics 2015-06-26 S. G. Rajeev , O. T. Turgut

The N=2* Super-Yang-Mills theory (SYM*) undergoes an infinite sequence of large-N quantum phase transitions. We compute expectation values of Wilson loops in k-symmetric and antisymmetric representations of the SU(N) gauge group in this…

High Energy Physics - Theory · Physics 2015-02-16 Xinyi Chen-Lin , Konstantin Zarembo

We present a conjecture for the normalisation of the twist two conformal partial waves in a double OPE limit of the four-point function of stress tensor multiplets in N = 4 super Yang-Mills theory up to three loops. This contains…

High Energy Physics - Theory · Physics 2012-07-18 Burkhard Eden

We consider two four-dimensional gauge theories with gauge group $SU(N)$: the $\mathcal{N}=4$ Super Yang-Mills (SYM) theory and the $\mathcal{N}=2$ quiver gauge theory obtained as a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ SYM. In this…

High Energy Physics - Theory · Physics 2025-10-15 Lorenzo De Lillo , Alessandro Pini

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue…

High Energy Physics - Lattice · Physics 2015-06-05 Robert Lohmayer , Herbert Neuberger

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 exhibit the gauge-group independence (``universality'') of all normalized non-intersecting Wilson loop expectation values in the large N limit of two-dimensional Yang-Mills theory. This universality is most easily understood via the…

High Energy Physics - Theory · Physics 2016-09-06 M. Crescimanno , S. Naculich , H. J. Schnitzer

We consider circular Wilson loops in a defect version of $\mathcal{N}=4$ super-Yang-Mills theory which is dual to the D3-D5 brane system with $k$ units of flux. When the loops are parallel to the defect, we can construct both BPS and…

High Energy Physics - Theory · Physics 2020-04-22 S. Bonansea , S. Davoli , L. Griguolo , D. Seminara

We investigate a \Pi-shape Wilson loop in N=4 super Yang--Mills theory, which lies partially at the light-cone, and consider an associated open superstring in AdS_5 x S^5. We discuss how this Wilson loop determines the anomalous dimensions…

High Energy Physics - Theory · Physics 2009-11-07 Yuri Makeenko

In planar ${\cal N}=4$ supersymmetric Yang-Mills theory we have studied supersymmetric Wilson loops composed of a large number of light-like segments, i.e., null zig-zags. These contours oscillate around smooth underlying spacelike paths.…

High Energy Physics - Theory · Physics 2014-11-18 Zhifeng Xie