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We propose a method to calculate the expectation values of an operator similar to the Wilson loop in the large N limit of field theories. We consider N=4 3+1 dimensional super-Yang-Mills. The prescription involves calculating the area of a…

高能物理 - 理论 · 物理学 2016-09-06 Juan M. Maldacena

Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on $S^d$ in the strong coupling limit for $2\leq d<6$. The same calculation can…

高能物理 - 理论 · 物理学 2020-04-22 Nikolay Bobev , Pieter Bomans , Fridrik Freyr Gautason , Joseph A. Minahan , Anton Nedelin

The 1/2-BPS Wilson loop in $\mathcal{N}=4$ supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the…

高能物理 - 理论 · 物理学 2020-12-02 Simone Giombi , Jiaqi Jiang , Shota Komatsu

We compute the one-loop correction to the probe D3-brane action in AdS5 x S5 expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is given essentially by the logarithm of the one-loop partition function…

高能物理 - 理论 · 物理学 2014-07-02 E. I. Buchbinder , A. A. Tseytlin

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 study the supersymmetric Wilson loops in the four-dimensional N=4 super Yang-Mills theory in the context of AdS/CFT correspondence. In the gauge theory side, it is known that the expectation value of the Wilson loops of circular shape…

高能物理 - 理论 · 物理学 2009-08-03 Shoichi Kawamoto , Tsunehide Kuroki , Akitsugu Miwa

N=4 supersymmetric Yang-Mills theory exhibits a rather surprising duality of Wilson-loop vacuum expectation values and scattering amplitudes. In this paper, we investigate this correspondence at the diagram level. We find that one-loop…

高能物理 - 理论 · 物理学 2015-03-17 Charalampos Anastasiou , Andrea Banfi

We consider a light-like Wilson loop in N=4 SYM evaluated on a regular n-polygon contour. Sending the number of edges to infinity the polygon approximates a circle and the expectation value of the light-like WL is expected to tend to the…

高能物理 - 理论 · 物理学 2015-06-23 Marco S. Bianchi , Matias Leoni

In this paper, we investigate the 1/4 BPS Wilson-'t Hooft loops in $\mathcal{N}$=4 supersymmetric Yang-Mills theory. We use the bulk D3-brane solutions with both electric and magnetic charges on its world-volume to describe some of 1/4 BPS…

高能物理 - 理论 · 物理学 2015-09-15 Chang-Yong Liu , Li Qin

The N=2* Super-Yang-Mills theory (SYM*) undergoes an infinite sequence of large-N quantum phase transitions. We compute expectation values of Wilson loops in k-symmetric and antisymmetric representations of the SU(N) gauge group in this…

高能物理 - 理论 · 物理学 2015-02-16 Xinyi Chen-Lin , Konstantin Zarembo

We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level…

高能物理 - 理论 · 物理学 2012-06-18 Niklas Beisert , Song He , Burkhard U. W. Schwab , Cristian Vergu

We study 1/2-BPS Wilson loop operators in maximally supersymmetric Yang-Mills theory on $d$-dimensional spheres. Their vacuum expectation values can be computed at large $N$ through supersymmetric localisation. The holographic duals are…

The S-matrix for planar N = 4 super Yang-Mills theory can be computed as the correlation function for a holomorphic polygonal Wilson loop in twistor space. In an axial gauge, this leads to the construction of the all-loop integrand via MHV…

高能物理 - 理论 · 物理学 2015-06-12 Arthur E. Lipstein , Lionel Mason

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 correlators of null, $n$-sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the ${\cal N}=4$ supersymmetric Yang-Mills theory. This finite observable is closely related to loop integrands of…

高能物理 - 理论 · 物理学 2025-03-24 Taro V. Brown , Johannes M. Henn , Elia Mazzucchelli , Jaroslav Trnka

We study Wilson loops on the Coulomb branch of $N = 4$ super-Yang-Mills theory, by solving for minimal surfaces that connect the contour on the boundary with the D3-brane in the bulk of AdS$_5 \times S^5$. The circular loop undergoes the…

高能物理 - 理论 · 物理学 2026-05-01 Jarne Moens , Konstantin Zarembo

This Ph.D. thesis reaches two main results. The first one is represented by a detailed study, in Feynman gauge, of the perturbative ${\cal O}(g^4)$ contribution to a space-time Wilson loop, with respect to its (expected) Abelian-like time…

高能物理 - 理论 · 物理学 2007-05-23 Roberto Begliuomini

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each…

高能物理 - 理论 · 物理学 2020-10-26 Christoph F. Uhlemann

We study the relation between 5D super Yang-Mills theory and the holographic description of 6D (2,0) superconformal theory. We start by clarifying some issues related to the localization of N=1 SYM with matter on $S^5$. We concentrate on…

高能物理 - 理论 · 物理学 2013-08-19 Joseph A. Minahan , Anton Nedelin , Maxim Zabzine

We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar…

高能物理 - 理论 · 物理学 2024-07-24 Edoardo Vescovi , Konstantin Zarembo