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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 study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

高能物理 - 理论 · 物理学 2018-11-14 Kazumi Okuyama

Supersymmetric circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended…

高能物理 - 理论 · 物理学 2021-07-06 Wolfgang Mück

We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N=4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact,…

高能物理 - 理论 · 物理学 2018-08-29 Anthonny F. Canazas Garay , Alberto Faraggi , Wolfgang Mück

In this paper we study Wilson loops in various representations for finite and large values of the color gauge group for supersymmetric ${\cal N}=4$ gauge theories. We also compute correlators of Wilson loops in different representations and…

高能物理 - 理论 · 物理学 2018-11-14 Ekaterina Sysoeva

We study the correlators of a recently discovered family of BPS Wilson loops in ${\cal N}=4$ supersymmetric U(N) Yang-Mills theory. When the contours lie on a two-sphere in the space-time, we propose a closed expression that is valid for…

高能物理 - 理论 · 物理学 2009-08-24 A. Bassetto , L. Griguolo , F. Pucci , D. Seminara , S. Thambyahpillai , D. Young

We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor…

高能物理 - 理论 · 物理学 2026-04-01 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

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…

高能物理 - 理论 · 物理学 2025-10-15 Lorenzo De Lillo , Alessandro Pini

We continue our study of the correlators of a recently discovered family of BPS Wilson loops in N=4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods…

We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $\beta$-function. Using super-symmetric localization on $S_4$ , we map the path-integral associated…

高能物理 - 理论 · 物理学 2024-10-22 Marco Billo' , Luca Griguolo , Alessandro Testa

We consider two four-dimensional SCFTs with gauge group $Sp(N)$: the $\mathcal{N}=4$ SYM theory and the $\mathcal{N}=2$ theory with four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-2 antisymmetric…

高能物理 - 理论 · 物理学 2025-03-10 Lorenzo De Lillo , Marialuisa Frau , Alessandro Pini

We consider the four-dimensional $\mathcal{N}=2$ quiver gauge theory arising from a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills with gauge group $SU(2N)$. We study the integrated correlator between a half-BPS Wilson line and…

高能物理 - 理论 · 物理学 2025-05-09 Alessandro Pini

We derive exact formulas for circular Wilson loops in the $\mathcal{N}=4$ and $\mathcal{N}=2^{* }$ theories with gauge groups $U(N)$ and $SU(N)$ in the $k$-fold symmetrized product representation. The formulas apply in the limit of large…

高能物理 - 理论 · 物理学 2022-09-14 D. Rodriguez-Gomez , J. G. Russo

We compute at strong coupling the large N correlation functions of supersymmetric Wilson loops in large representations of the gauge group with local operators of N=4 super Yang-Mills. The gauge theory computation of these correlators is…

高能物理 - 理论 · 物理学 2009-04-29 Jaume Gomis , Shunji Matsuura , Takuya Okuda , Diego Trancanelli

We study the $\frac{1}{2}$-BPS circular Wilson loop in the totally antisymmetric representation of the gauge group in $\mathcal N =4 $ supersymmetric Yang-Mills. This observable is captured by a Gaussian matrix model with appropriate…

高能物理 - 理论 · 物理学 2018-03-14 James Gordon

We consider 4-dimensional $\mathcal{N} = 2$ superconformal quiver theories with $SU(N)^M$ gauge group and bi-fundamental matter and we evaluate correlation functions of $n$ coincident Wilson loops in the planar limit of the theory.…

高能物理 - 理论 · 物理学 2023-12-06 Alessandro Pini , Paolo Vallarino

We consider conformal N=2 super Yang-Mills theories with gauge group SU(N) and Nf=2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the…

高能物理 - 理论 · 物理学 2020-05-20 M. Billo , F. Galvagno , P. Gregori , A. Lerda

We compute correlation functions of protected primaries on the $1/2$-BPS Wilson loop in ${\cal N}$ = 4 super Yang-Mills theory at weak coupling. We first perform direct perturbative computation at one loop in the planar limit and present…

高能物理 - 理论 · 物理学 2019-03-27 Naoki Kiryu , Shota Komatsu

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…

高能物理 - 理论 · 物理学 2015-05-19 Luis F. Alday , Burkhard Eden , Gregory P. Korchemsky , Juan Maldacena , Emery Sokatchev

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…

高能物理 - 理论 · 物理学 2017-12-05 Lorenzo Bianchi , Luca Griguolo , Michelangelo Preti , Domenico Seminara
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