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We study supersymmetric Wilson loops in $d=3$, $\mathcal{N}=3$ harmonic superspace, leading to a construction of a supersymmetrized generalization of the $\frac{1}{3}$-BPS Wilson loop for $\mathcal{N}=3$ gauge theories. This also includes a…

高能物理 - 理论 · 物理学 2018-06-27 Yu-tin Huang , Dharmesh Jain

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 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

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 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

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 study the action of S-duality on half-BPS Wilson loop operators in 5d $\mathcal{N}=1$ theories. The duality is the statement that different massive deformations of a single 5d SCFT are described by different gauge theories, or…

高能物理 - 理论 · 物理学 2018-11-14 Benjamin Assel , Antonio Sciarappa

We revisit the problem of matching the strong coupling expansion of the $\frac{1}{2}$ BPS circular Wilson loops in ${\cal N}=4$ SYM and ABJM gauge theories with their string theory duals in ${\rm AdS}_5 \times S^5$ and ${\rm AdS}_4 \times…

高能物理 - 理论 · 物理学 2025-09-24 Simone Giombi , Arkady A. Tseytlin

We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple…

高能物理 - 理论 · 物理学 2018-11-09 Simone Giombi , Shota Komatsu

Motivated by the problem of understanding 3-point correlation functions of gauge-invariant operators in N =4 super Yang-Mills theory we consider correlators involving Wilson loops and a "light" operator with fixed quantum numbers. At…

高能物理 - 理论 · 物理学 2012-04-19 Luis F. Alday , Arkady A. Tseytlin

We use supersymmetric localization to study probes of four dimensional Lagrangian N=2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a…

高能物理 - 理论 · 物理学 2016-03-23 Bartomeu Fiol , Blai Garolera , Genis Torrents

The planar resolvent for N=3 U(N)_k Chern-Simons theory coupled to an arbitrary number of adjoint matters is determined. Analytic continuation of the 't Hooft coupling t is analyzed. The eigenvalue distribution turns out to be confined in a…

高能物理 - 理论 · 物理学 2015-06-11 Takao Suyama

We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the $\mathcal{N}=4$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the 't Hooft coupling of order $N^2$. In the matrix…

高能物理 - 理论 · 物理学 2018-01-17 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

For $SU(N)$ superconformal QCD we perform a three-loop calculation of the generalized cusp anomalous dimension of the BPS Wilson loop operator using HQET formalism. We obtain an expression which is valid at generic geometric and internal…

高能物理 - 理论 · 物理学 2019-05-01 Carolina Gomez , Andrea Mauri , Silvia Penati

For ${\cal N}=2^*$ theory with $U(N)$ gauge group we evaluate expectation values of Wilson loops in representations described by a rectangular Young tableau with $n$ rows and $k$ columns. The evaluation reduces to a two-matrix model and we…

高能物理 - 理论 · 物理学 2018-02-14 James T. Liu , Leopoldo A. Pando Zayas , Shan Zhou

We compute the exact vacuum expectation value of 1/2 BPS circular Wilson loops of ${\cal N}$=4 U(N) super Yang-Mills in arbitrary irreducible representations. By localization arguments, the computation reduces to evaluating certain…

高能物理 - 理论 · 物理学 2015-06-17 Bartomeu Fiol , Genis Torrents

We consider $\mathcal{N}=2$ superconformal quiver gauge theories in four dimensions and evaluate the chiral/anti-chiral correlators of single-trace operators. We show that it is convenient to form particular twisted and untwisted…

高能物理 - 理论 · 物理学 2021-11-10 M. Billo , M. Frau , F. Galvagno , A. Lerda , A. Pini

We consider BPS Wilson loops in planar ABJM theory, wound multiple times around the great circle. We compute the expectation value of the 1/6-BPS and 1/2-BPS Wilson loops to three- and two-loop order in perturbation theory, respectively,…

高能物理 - 理论 · 物理学 2016-10-12 Marco S. Bianchi

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike…

高能物理 - 理论 · 物理学 2018-05-08 Harald Dorn