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We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an…

High Energy Physics - Theory · Physics 2009-11-11 A. Dymarsky , S. Gubser , Z. Guralnik , J. Maldacena

We give a path integral derivation of the annulus diagram in a supersymmetric theory of open and closed strings with Dbranes. We compute the pair correlation function of Wilson loops in the generic weakly coupled supersymmetric flat…

High Energy Physics - Theory · Physics 2009-10-31 Shyamoli Chaudhuri , Eric G. Novak

We discuss a resummed perturbation theory based on the Wilson renormalization group. In this formulation the Wilsonian flowing couplings, which generalize the running coupling, enter directly into the loop expansion. In the case of an…

High Energy Physics - Theory · Physics 2007-05-23 M. Bonini , M. Simionato

Eigenvalues of a Wilson loop operator are gauge invariant and their distribution undergoes a transition at infinite N as the size of the loop is changed. We study this transition using the average characteristic polynomial associated with…

High Energy Physics - Lattice · Physics 2010-01-21 Rajamani Narayanan , Herbert Neuberger

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 analyze the structure of the UV divergences of the Wilson loop for a general gauge/gravity duality. We find that, due to the presence of a nontrivial NSNS B-field and metric, new divergences that cannot be subtracted out by the…

High Energy Physics - Theory · Physics 2009-01-16 Chong-Sun Chu , Dimitrios Giataganas

We present a large new family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two…

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

We investigate the ultraviolet (UV) behaviour of 6D N=1 supersymmetric effective (Abelian) gauge theories compactified on a two-torus ($T_2$) with magnetic flux. To this purpose we compute offshell the one-loop correction to the Wilson line…

High Energy Physics - Theory · Physics 2017-06-28 D. M. Ghilencea , Hyun Min Lee

We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Radu Roiban

We study a complex analogue of a Wilson Loop, defined over a complex curve, in non-Abelian holomorphic Chern-Simons theory. We obtain a version of the Makeenko-Migdal loop equation describing how the expectation value of these Wilson Loops…

High Energy Physics - Theory · Physics 2011-01-10 Mathew Bullimore , David Skinner

We start with an n-point correlation function in a conformal gauge theory. We show that a special limit produces a polygonal Wilson loop with $n$ sides. The limit takes the $n$ points towards the vertices of a null polygonal Wilson loop…

High Energy Physics - Theory · Physics 2015-05-19 Luis F. Alday , Burkhard Eden , Gregory P. Korchemsky , Juan Maldacena , Emery Sokatchev

Some exact expressions for non-selfintersecting Wilson loops in Yang Mills theory on the infinite plane are reviewed.

High Energy Physics - Lattice · Physics 2010-11-05 Robert Lohmayer , Herbert Neuberger , Tilo Wettig

We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a $1/3$-BPS single-trace chiral primary…

High Energy Physics - Theory · Physics 2026-01-21 Xiao-Yi Zhang , Yunfeng Jiang , Jun-Bao Wu

We find new exact relations between the partition function and vacuum expectation values (VEVs) of 1/2 BPS Wilson loops in ABJ theory, which allow us to predict the large N expansions of the 1/2 BPS Wilson loops from known results of the…

High Energy Physics - Theory · Physics 2016-11-23 Yasuyuki Hatsuda , Kazumi Okuyama

We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin,…

High Energy Physics - Theory · Physics 2009-04-17 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We consider the ratio of the correlation function of an hexagon light-like Wilson loop with one local operator over the expectation value of the Wilson loop within the strong-coupling regime of the AdS/CFT correspondence. We choose the…

High Energy Physics - Theory · Physics 2013-09-30 Rafael Hernandez , Juan Miguel Nieto

The Wilson loop in the non-commutative dipole field theory is re-examined within the framework of dual gravity description. In contrast to the previous investigations, we let the dual string be moving along the deformed $S^5$ and find the…

High Energy Physics - Theory · Physics 2015-05-13 Wung-Hong Huang

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

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

A generating function for cabled Wilson loops in three-dimensional BF theories is defined, and a careful study of its behavior for vanishing cosmological constant is performed. This allows an exhaustive description of the unframed knot…

q-alg · Mathematics 2009-10-30 Alberto S. Cattaneo