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Related papers: Wilson loops in circular quiver SCFTs at strong co…

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Using the ideas from the BPS/CFT correspondence, we give an explicit recursive formula for computing supersymmetric Wilson loop averages in 3d $\mathcal{N}=2$ Yang-Mills-Chern-Simons $U(N)$ theory on the squashed sphere $S^3_b$ with one…

High Energy Physics - Theory · Physics 2019-12-20 Luca Cassia , Rebecca Lodin , Aleksandr Popolitov , Maxim Zabzine

We propose an SL(2,R) Chern-Simons description of Liouville field theory (LFT), whose correlation function duals to partition function of N=2 SU(2) gauge theories. We give the dual expressions for conformal blocks, fusion rules, and Wilson…

High Energy Physics - Theory · Physics 2009-12-02 Jian-Feng Wu , Yang Zhou

We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group $\mathbb{Z}_n$. We study Wilson line observables in the strong coupling regime and compute their asymptotic behavior with error…

Probability · Mathematics 2024-10-07 Malin P. Forsström , Jonatan Lenells , Fredrik Viklund

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the ${\cal N}=4$ supersymmetric Yang-Mills theory at large $N_c$ is carried out to the sub-leading term in the large 't Hooft coupling at zero temperature.…

High Energy Physics - Phenomenology · Physics 2010-05-28 Shao-xia Chu , Defu Hou , Hai-cang Ren

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 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

We study Wilson loops in N=4 SYM theory which are non-constant in the scalar (S5) directions and open string solutions associated with them in the context of AdS/CFT correspondence. An interplay between Minkowskian and Euclidean pictures…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin , K. Zarembo

Wilson loop expectation in 4D $\mathbb{Z}_2$ lattice gauge theory is computed to leading order in the weak coupling regime. This is the first example of a rigorous theoretical calculation of Wilson loop expectation in the weak coupling…

Probability · Mathematics 2020-01-14 Sourav Chatterjee

We study the vacuum expectation value of half-BPS Wilson loop operators in two families of superconformal $\mathcal{N}=2$ Chern-Simons-matter theories. The first family is dual to AdS$_{4}$ solutions in M-theory, while the second one has a…

High Energy Physics - Theory · Physics 2025-11-07 Fridrik Freyr Gautason , Alexia Nix

We construct a generalized cusped Wilson loop operator in N = 6 super Chern-Simons-matter theories which is locally invariant under half of the supercharges. It depends on two parameters and interpolates smoothly between the 1/2 BPS line or…

High Energy Physics - Theory · Physics 2015-06-11 Luca Griguolo , Daniele Marmiroli , Gabriele Martelloni , Domenico Seminara

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 present a complete two-loop analysis of the quantum expectation value for circular BPS Wilson loops in ABJ(M) theories. We examine in details the 1/2 BPS case, that requires non-trivial fermionic couplings with the contour, finding…

High Energy Physics - Theory · Physics 2015-06-16 Luca Griguolo , Gabriele Martelloni , Matteo Poggi , Domenico Seminara

In this article we consider n gluon color ordered, planar amplitudes in N=4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS_5 space. We compute the value of the amplitude for a…

High Energy Physics - Theory · Physics 2010-04-06 Luis F. Alday , Juan Maldacena

We study the Wilson loops for contours formed by a consecutive passage of two touching circles with a common tangent, but opposite orientation. The calculations are performed in lowest nontrivial order for ${\cal N}=4$ SYM at weak and…

High Energy Physics - Theory · Physics 2019-02-20 Harald Dorn

We analyze correlation functions of Wilson loop observables and local vertex operators within the strong-coupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved…

High Energy Physics - Theory · Physics 2015-06-04 Rafael Hernandez

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

We study operator insertions into the $1/2$ BPS Wilson loop in ${\cal N}=4$ SYM theory and determine their two-point coefficients, anomalous dimensions and structure constants. The calculation is done for the first few lowest dimension…

High Energy Physics - Theory · Physics 2017-08-02 Michael Cooke , Amit Dekel , Nadav Drukker

It is known that the expectation value of Wilson loops in the Gross-Witten-Wadia (GWW) unitary matrix model can be computed exactly at finite $N$ for arbitrary representations. We study the perturbative and non-perturbative corrections of…

High Energy Physics - Theory · Physics 2017-08-02 Kazumi Okuyama

When relating the strong coupling $\alpha_s$, measured at the scale of the $Z$ boson mass, to its numerical value at some higher energy, for example the scale of Grand Unification, it is important to include higher order corrections both in…

High Energy Physics - Phenomenology · Physics 2013-05-29 R. Harlander , L. Mihaila , M. Steinhauser

The large-N limit of the expectation values of the Wilson loops corresponding to two-dimensional U(N) Yang-Mills and generalized Yang-Mills theories on a sphere are studied. The behavior of the expectation values of the Wilson loops both…

High Energy Physics - Theory · Physics 2008-11-26 M. Khorrami , M. Alimohammadi