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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 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

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an…

高能物理 - 理论 · 物理学 2009-10-31 J. K. Erickson , G. W. Semenoff , K. Zarembo

We apply the localization technique to compute the free energy on four-sphere and the circular BPS Wilson loop in the four-dimensional $\cal N$=2 superconformal $Sp(2N)$ gauge theory containing vector multiplet coupled to four…

高能物理 - 理论 · 物理学 2023-08-28 M. Beccaria , G. P. Korchemsky , A. A. Tseytlin

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 study Wilson loop operators in three-dimensional, N=6 superconformal Chern-Simons theory dual to IIA superstring theory on AdS4 x CP3. Novelty of Wilson loop operators in this theory is that, for a given contour, there are two linear…

高能物理 - 理论 · 物理学 2009-03-27 Soo-Jong Rey , Takao Suyama , Satoshi Yamaguchi

Localization approach to $\mathcal N=2$ superconformal $SU(N) \times SU(N)$ quiver theory leads to a non-Gaussian two-matrix model representation for the expectation value of BPS circular $SU(N)$ Wilson loop $\langle\mathcal W\rangle$. We…

高能物理 - 理论 · 物理学 2022-07-27 Matteo Beccaria , Arkady A. Tseytlin

We consider the 1/2 BPS circular Wilson loop in a generic N=2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite $N$ and in the large-N limit, using the interacting matrix model provided by…

高能物理 - 理论 · 物理学 2019-10-17 M. Billo , F. Galvagno , A. Lerda

We study four-dimensional $\mathcal N=2$ superconformal circular, cyclic symmetric quiver theories which are planar equivalent to $\mathcal N=4$ super Yang-Mills. We use localization to compute nonplanar corrections to the free energy and…

高能物理 - 理论 · 物理学 2023-12-13 M. Beccaria , G. P. Korchemsky

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…

高能物理 - 理论 · 物理学 2020-05-11 Francesco Galvagno

We analyze the $1/\theta$ and 1/N expansions of the Wilson loop averages $<W(C)>_{U_\theta (N)}$ in the two-dimensional noncommutative $U_\theta (N)$ gauge theory with the parameter of noncommutativity $\theta$. For a generic rectangular…

高能物理 - 理论 · 物理学 2008-11-26 Jan Ambjorn , Andrei Dubin , Yuri Makeenko

We present results for Wilson loops in strongly coupled gauge theories. The loops may be taken around an arbitrarily shaped contour and in any field theory with a dual IIB geometry of the form M x S^5. No assumptions about supersymmetry are…

高能物理 - 理论 · 物理学 2008-11-26 Sean A. Hartnoll

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 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 study the framing dependence of the Wilson loop observable of U(N) Chern-Simons gauge theory at large N. Using proposed geometrical large N dual, this leads to a direct computation of certain topological string amplitudes in a closed…

高能物理 - 理论 · 物理学 2007-05-23 Marcos Marino , Cumrun Vafa

We study the half-BPS circular Wilson loop in ${\cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$.…

高能物理 - 理论 · 物理学 2020-06-22 Simone Giombi , Bendeguz Offertaler

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…

高能物理 - 理论 · 物理学 2018-04-10 Ekaterina Sysoeva

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…

高能物理 - 理论 · 物理学 2011-10-05 F. Passerini , K. Zarembo

We compute the vacuum expectation values of $1/6$ supersymmetric Wilson loops in higher dimensional representations of the gauge group in ABJM theory. We present results for the $m$-symmetric and $m$-antisymmetric representations by…

高能物理 - 理论 · 物理学 2022-03-30 Tessa Cookmeyer , James T. Liu , Leopoldo A. Pando Zayas

We study the cusped Wilson line operators and Bremsstrahlung functions associated to particles transforming in the rank-$k$ symmetric representation of the gauge group $U(N)$ for ${\cal N} = 4$ super Yang-Mills. We find the holographic…

高能物理 - 理论 · 物理学 2015-08-26 Diego H. Correa , Fidel I. Schaposnik Massolo , Diego Trancanelli