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We discuss the stability of vacua in two-dimensional gauge theory for any simple, simply connected gauge group. Making use of the representation of a vacuum in terms of a Wilson line at infinity, we determine which vacua are stable against…

高能物理 - 理论 · 物理学 2009-10-31 Victor Kac , Jan Troost

An effective action is proposed to compute the expectation value of Wilson loops in $(S)U(N)$ gauge theories. The action consists of fermions localized on the loop and an Abelian gauge field that fixes the representation. The discussion is…

高能物理 - 理论 · 物理学 2018-08-01 Carlos Hoyos

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…

高能物理 - 理论 · 物理学 2025-12-16 James Drummond , Ömer Gürdoğan , Matthew Rochford , Rowan Wright

We consider 1/2-BPS circular Wilson loops in a class of 5d superconformal field theories on S^5. The large N limit of the vacuum expectation values of Wilson loops are computed both by localization in the field theory and by evaluating the…

高能物理 - 理论 · 物理学 2014-02-20 Benjamin Assel , John Estes , Masahito Yamazaki

We study light-like polygonal Wilson loops in three-dimensional Chern-Simons and ABJM theory to two-loop order. For both theories we demonstrate that the one-loop contribution to these correlators cancels. For pure Chern-Simons, we find…

高能物理 - 理论 · 物理学 2015-03-13 Johannes M. Henn , Jan Plefka , Konstantin Wiegandt

Large-N phase transitions occurring in massive N=2 theories can be probed by Wilson loops in large antisymmetric representations. The logarithm of the Wilson loop is effectively described by the free energy of a Fermi distribution and…

高能物理 - 理论 · 物理学 2018-08-15 Jorge Russo , Konstantin Zarembo

We review Wilson loops in N=4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence.

高能物理 - 理论 · 物理学 2009-11-07 Gordon W. Semenoff , K. Zarembo

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

We compute the circular Wilson loop of N=4 SYM theory at large N in the rank k symmetric and antisymmetric tensor representations. Using a quadratic Hermitian matrix model we obtain expressions for all values of the 't Hooft coupling. At…

高能物理 - 理论 · 物理学 2011-04-15 Sean A. Hartnoll , S. Prem Kumar

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 propose and discuss a new approach to the analysis of the correlation functions which contain light-like Wilson lines or loops, the latter being cusped in addition. The objects of interest are therefore the light-like Wilson…

高能物理 - 唯象学 · 物理学 2013-03-12 I. O. Cherednikov , T. Mertens , F. F. Van der Veken

Using the supersymmetric formalism we compute exactly at finite $N$ the expectation of the Wilson loop in the Gaussian Unitary Ensemble and derive an exact formula for the spectral density at finite $N$. We obtain the same result by a…

数学物理 · 物理学 2016-05-25 Razvan Gurau

We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6 ABJM and the…

高能物理 - 理论 · 物理学 2015-05-27 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , CarloAlberto Ratti , Alberto Santambrogio

We study circular BPS Wilson loops in the $\mathcal{N}=2$ superconformal $n$-node quiver theories at large $N$ and strong 't Hooft coupling by using localization. We compute the expectation values of Wilson loops in the limit when the 't…

高能物理 - 理论 · 物理学 2021-02-26 Hao Ouyang

We study the algebra of BPS Wilson loops in 3d gauge theories with N=2 supersymmetry and Chern-Simons terms. We argue that new relations appear on the quantum level, and that in many cases this makes the algebra finite-dimensional. We use…

高能物理 - 理论 · 物理学 2013-02-12 Anton Kapustin , Brian Willett

The formalism for Schwinger-Dyson equations of Wilson loops, as developed by Eguchi, Weingarten, and Foerster, is extended to include connected correlators. These should allow one to study propagators and interactions of glueball fields…

高能物理 - 理论 · 物理学 2012-09-28 David Vercauteren

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.…

高能物理 - 理论 · 物理学 2010-06-29 Andreas Brandhuber , Paul Heslop , Valentin V. Khoze , Gabriele Travaglini

We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory for gauge groups of rank larger than one on compact four-manifolds $X$. We find that the topological invariance of the generator…

高能物理 - 理论 · 物理学 2017-09-07 Marcos Marino , Gregory Moore

We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the…

高能物理 - 理论 · 物理学 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa

We discuss and extend recent conjectures relating partial null limits of correlation functions of local gauge invariant operators and the expectation value of null polygonal Wilson loops and local gauge invariant operators. We point out…

高能物理 - 理论 · 物理学 2015-05-30 Oluf Tang Engelund , Radu Roiban