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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…

高能物理 - 理论 · 物理学 2019-07-31 Rodolfo Panerai , Matteo Poggi , Domenico Seminara

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution…

高能物理 - 理论 · 物理学 2019-11-20 Wolfgang Mück

We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the…

高能物理 - 理论 · 物理学 2021-11-24 Francesco Galvagno , Michelangelo Preti

We study the correlation function between one single-trace scalar operator and a circular Wilson loop in the $4d$ $\mathcal{N}=2$ superconformal field theory with gauge group $SU(N)$ and matter transforming in the symmetric and…

高能物理 - 理论 · 物理学 2023-06-19 Alessandro Pini , Paolo Vallarino

We show that $U(N)$ $3d$ $\mathcal{N}=4$ supersymmetric gauge theories on $S^{3}$ with $N_{f}$ massive fundamental hypermultiplets and with a Fayet-Iliopoulos (FI) term are solvable in terms of generalized Selberg integrals. Finite $N$…

高能物理 - 理论 · 物理学 2019-05-31 Miguel Tierz

Wilson loops in large N gauge theory exhibit a weak to strong coupling transition as the loop is dilated. A multiplicative matrix model captures the universal behavior associated with this transition. A universal scaling function is…

高能物理 - 格点 · 物理学 2008-10-06 Rajamani Narayanan , Herbert Neuberger

We consider the $\mathcal{N}=2$ SYM theory with gauge group SU($N$) and a matter content consisting of one multiplet in the symmetric and one in the anti-symmetric representation. This conformal theory admits a large-$N$ 't Hooft expansion…

高能物理 - 理论 · 物理学 2021-08-18 M. Beccaria , M. Billo , M. Frau , A. Lerda , A. Pini

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…

高能物理 - 理论 · 物理学 2017-08-02 Kazumi Okuyama

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…

高能物理 - 理论 · 物理学 2018-05-08 Harald Dorn

The anomalous dimensions of single-trace local Wilson operators with covariant derivatives in maximally supersymmetric gauge theory are believed to be generated from a deformed noncompact sl(2) Baxter equation. We perform a systematic…

高能物理 - 理论 · 物理学 2008-11-26 A. V. Belitsky

We study insertions of composite operators into Wilson loops in N=4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of…

高能物理 - 理论 · 物理学 2009-11-11 Nadav Drukker , Shoichi Kawamoto

I propose a class of D\geq{2} lattice SU(N) gauge theories dual to certain vector models endowed with the local [U(N)]^{D} conjugation-invariance and Z_{N} gauge symmetry. In the latter models, both the partitition function and Wilson loop…

高能物理 - 理论 · 物理学 2007-05-23 Andrey Dubin

We consider the $\mathcal{N}=2$ quiver gauge theory arising from a $\mathbb{Z}_M$ orbifold of $\mathcal{N}=4$ Super Yang-Mills theory. Over the years, exploiting supersymmetric localization, exact expressions for several observables have…

高能物理 - 理论 · 物理学 2025-05-06 Pieter-Jan De Smet , Alessandro Pini , Paolo Vallarino

We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional N=2 SU(N) SYM theories with massless matter content and non-vanishing beta-function. Following Pestun's approach, we can use supersymmetric localization on the…

高能物理 - 理论 · 物理学 2023-12-20 M. Billo' , L. Griguolo , A. Testa

We study non-planar corrections in two special $\mathcal N=2$ superconformal $SU(N)$ gauge theories that are planar-equivalent to $\mathcal N=4$ SYM theory: two-nodes quiver model with equal couplings and $\mathcal N=2$ vector multiplet…

高能物理 - 理论 · 物理学 2023-06-07 M. Beccaria , G. P. Korchemsky , A. A. Tseytlin

In this paper we study the expectation value of deformations of the circular Wilson loop in ${\cal N}=4$ super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from…

高能物理 - 理论 · 物理学 2019-01-15 Michael Cooke , Amit Dekel , Nadav Drukker , Diego Trancanelli , Edoardo Vescovi

We study the two circular Wilson loop correlator in which one is of anti-symmetric representation, while the other is of fundamental representation in 4-dimensional ${\cal N}=4$ super Yang-Mills theory. This correlator has a good AdS dual,…

高能物理 - 理论 · 物理学 2010-10-27 Ta-Sheng Tai , Satoshi Yamaguchi

We calculate perturbative Wilson loops of various sizes up to loop order $n=20$ at different lattice sizes for pure plaquette and tree-level improved Symanzik gauge theories using the technique of Numerical Stochastic Perturbation Theory.…

高能物理 - 格点 · 物理学 2010-10-25 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

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…

高能物理 - 理论 · 物理学 2020-06-16 Bartomeu Fiol , Jairo Martínez-Montoya , Alan Rios Fukelman

We address the issue of topological angles in the context of two dimensional SU(N) Yang-Mills theory coupled to massive fermions in the adjoint representation. Classification of the resulting multiplicity of vacua is carried outin terms of…

高能物理 - 理论 · 物理学 2009-10-30 L. D. Paniak , G. W. Semenoff , A. R. Zhitnitsky