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Related papers: Wilson loop correlators in $\mathcal{N}=2$ superco…

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We construct supersymmetric fermionic Wilson loops along general curves in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory and along general planar curves in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory. These…

High Energy Physics - Theory · Physics 2024-05-01 Hao Ouyang , Jun-Bao Wu

We consider certain 1/4 BPS Wilson loop operators in SU(N) ${\cal N}=4$ supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to…

High Energy Physics - Theory · Physics 2016-04-12 Alberto Faraggi , Leopoldo A. Pando Zayas , Guillermo A. Silva , Diego Trancanelli

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike…

High Energy Physics - Theory · Physics 2018-05-08 Harald Dorn

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

We present new circular Wilson loops in three-dimensional N=4 quiver Chern-Simons-matter theory on S^3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin…

High Energy Physics - Theory · Physics 2021-07-22 Nadav Drukker , Marcia Tenser , Diego Trancanelli

It is well-known that the expectation values of null polygonal Wilson loops computed in planar \(\mathcal{N}=4\) super Yang-Mills theory are dual to MHV amplitudes in that theory, and moreover that the duality can be extended to higher…

High Energy Physics - Theory · Physics 2025-12-16 James Drummond , Ömer Gürdoğan , Matthew Rochford , Rowan Wright

In this note we compute the expectation value of a circular BPS Wilson loop in the higher rank totally symmetric and antisymmetric representations of SU(N) in the $\hat{A}_1$ quiver $\mathcal{N} = 2$ SCFT, using a matrix model. We discuss…

High Energy Physics - Theory · Physics 2016-01-20 Benjo Fraser

We calculate Wilson loops in lowest order of perturbation theory for triangular contours whose edges are circular arcs. Based on a suitable disentanglement of the relations between metrical and conformal parameters of the contours, the…

High Energy Physics - Theory · Physics 2021-05-26 Harald Dorn

We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them…

High Energy Physics - Theory · Physics 2019-06-26 M. Billo , F. Fucito , G. P. Korchemsky , A. Lerda , J. F. Morales

We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral,…

High Energy Physics - Theory · Physics 2015-06-03 Benedict Fraser , S. Prem Kumar

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

The AdS/CFT correspondence identifies the coordinates of the conformal boundary of anti-de Sitter space with the coordinates of the conformal field theory. We generalize this identification to theories formulated in superspace. As an…

High Energy Physics - Theory · Physics 2009-10-31 Hirosi Ooguri , J. Rahmfeld , Harlan Robins , Jonathan Tannenhauser

The present study illuminates the relation between null cusped Wilson loops and their corresponding amplitudes. We find that, compared to the case with no self-crossing, the one loop expectation value of a self-intersecting Wilson loop…

High Energy Physics - Theory · Physics 2015-09-22 George Georgiou

We discuss a semiclassical string description to circular Wilson loops without/with local operator insertions. By considering a semiclassical approximation of type IIB string theory on AdS_5 X S^5 around the corresponding classical…

High Energy Physics - Theory · Physics 2008-11-26 Makoto Sakaguchi , Kentaroh Yoshida

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

We compute the planar limit of both the free energy and the expectation value of the $1/2$ BPS Wilson loop for four dimensional ${\cal N}=2$ superconformal quiver theories, with a product of SU($N$)s as gauge group and bi-fundamental…

High Energy Physics - Theory · Physics 2020-06-16 Bartomeu Fiol , Jairo Martínez-Montoya , Alan Rios Fukelman

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

We give explicit field theoretical representations for the observables of 2+1 dimensional Chern-Simons theory in terms of gauge invariant composites of 2D WZW fields. To test our identification we compute some basic Wilson loop correlators…

High Energy Physics - Theory · Physics 2009-10-28 D. C. Cabra , G. L. Rossini

We initiate the study of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories in three dimensions. We consider a circular or linear quiver with Chern-Simons levels $k$, $-k$ and $0$, and focus on loops preserving one of…

High Energy Physics - Theory · Physics 2016-11-17 Michael Cooke , Nadav Drukker , Diego Trancanelli

We study operator insertions into 1/2 BPS Wilson loops in N = 6 ABJM theory and investigate their two-point correlators. In this framework, the energy emitted by a heavy moving probe can be exactly obtained from some two-point coefficients…

High Energy Physics - Theory · Physics 2017-12-05 Lorenzo Bianchi , Luca Griguolo , Michelangelo Preti , Domenico Seminara