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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…

High Energy Physics - Theory · Physics 2015-02-16 Xinyi Chen-Lin , Konstantin 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,…

High Energy Physics - Theory · Physics 2018-08-29 Anthonny F. Canazas Garay , Alberto Faraggi , Wolfgang Mück

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…

High Energy Physics - Theory · Physics 2022-09-14 D. Rodriguez-Gomez , J. G. Russo

We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find…

High Energy Physics - Theory · Physics 2010-11-04 Roman Andree , Donovan Young

Using localization, matrix model and saddle-point techniques, we determine exact behavior of circular Wilson loop in N=2 superconformal (quiver) gauge theories. Focusing at planar and large `t Hooft couling limits, we compare its asymptotic…

High Energy Physics - Theory · Physics 2011-02-02 Soo-Jong Rey , Takao Suyama

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…

High Energy Physics - Theory · Physics 2020-05-20 M. Billo , F. Galvagno , P. Gregori , A. Lerda

We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral,…

High Energy Physics - Theory · Physics 2015-06-03 Benedict Fraser , S. Prem Kumar

We study the circular Wilson loop in the symmetric representation of U(N) in $\mathcal{N} = 4$ super-Yang-Mills (SYM). In the large N limit, we computed the exponentially-suppressed corrections for strong coupling, which suggests…

High Energy Physics - Theory · Physics 2017-01-11 Xinyi Chen-Lin

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

N=2* gauge theory in four space-time dimensions arises as a deformation of the parent N=4 supersymmetric Yang-Mill theory under which its hypermultiplet acquires a mass. This theory, on the one hand, has a known supergravity dual and on the…

High Energy Physics - Theory · Physics 2015-06-12 Alex Buchel , Jorge G. Russo , Konstantin Zarembo

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…

High Energy Physics - Theory · Physics 2014-02-20 Benjamin Assel , John Estes , Masahito Yamazaki

A recent proposal was made for a large representation rank limit for which the expectation values of N = 4 super Yang-Mills Wilson loops are given by the exponential of the 1-loop result. We verify the validity of this exponentiation in the…

High Energy Physics - Theory · Physics 2019-06-28 Diego H. Correa , Fidel I. Schaposnik Massolo

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…

High Energy Physics - Theory · Physics 2020-10-26 Christoph F. Uhlemann

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation…

High Energy Physics - Theory · Physics 2020-05-11 Francesco Galvagno

We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d $\mathcal{N}=2$ superconformal ${\rm SU}(N)$ YM theory with hypermultiplets in the symmetric and antisymmetric representations…

High Energy Physics - Theory · Physics 2023-10-06 Nikolay Bobev , Pieter-Jan De Smet , Xuao Zhang

In this paper we compute the vacuum expectation value of the Wilson loop and its correlators with chiral primary operators in $\mathcal{N}=2, 4$ superconformal $U(N)$ gauge theories at large $N$. After localization these quantities can be…

High Energy Physics - Theory · Physics 2018-04-10 Ekaterina Sysoeva

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…

High Energy Physics - Theory · Physics 2021-07-06 Wolfgang Mück

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.…

High Energy Physics - Theory · Physics 2023-12-06 Alessandro Pini , Paolo Vallarino

We compute the expectation value of the circular Wilson loop in N=2 supersymmetric Yang-Mills theory with N_f=2N hypermultiplets. Our results indicate that the string tension in the dual string theory scales as the logarithm of the 't Hooft…

High Energy Physics - Theory · Physics 2011-10-05 F. Passerini , K. Zarembo

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…

High Energy Physics - Theory · Physics 2011-04-15 Sean A. Hartnoll , S. Prem Kumar
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