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The spectrum of anomalous dimensions of gauge-invariant operators in maximally supersymmetric Yang-Mills theory is believed to be described by a long-range integrable spin chain model. We focus in this study on its $sl(2)$ subsector spanned…

高能物理 - 理论 · 物理学 2009-12-15 M. Beccaria , A. V. Belitsky , A. V. Kotikov , S. Zieme

We propose that the expectation value of a circular BPS-Wilson loop in N=4 SUSYM can be calculated exactly, to all orders in a 1/N expansion and to all orders in g^2 N. Using the AdS/CFT duality, this result yields a prediction of the value…

高能物理 - 理论 · 物理学 2009-10-31 Nadav Drukker , David J. Gross

We investigate the supersymmetric Wilson loops in $d=3$ $\mathcal{N}=4$ super Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and 1/2…

高能物理 - 理论 · 物理学 2015-12-04 Hao Ouyang , Jun-Bao Wu , Jia-ju Zhang

We start by revisiting the problem of finding BPS solutions in $\mathcal{N}=4$ SU(2)$\times$SU(2) gauged supergravity. We report on a new supersymmetric solution in the Abelian sector of the theory, which describes a soliton that is regular…

高能物理 - 理论 · 物理学 2022-02-23 Fabrizio Canfora , Julio Oliva , Marcelo Oyarzo

We consider supersymmetric Wilson loops a la Zarembo in planar supersymmetric Yang-Mills theories in diverse dimensions. Using perturbation theory we show that these loops have trivial vacuum expectation values to second order in the 't…

高能物理 - 理论 · 物理学 2009-08-12 Abhishek Agarwal , Donovan Young

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

In the context of planar conformal gauge theory, we study five-point correlation functions between the interaction Lagrangian and four of the lightest single-trace, gauge-invariant scalar primaries. After performing two light-cone OPEs, we…

高能物理 - 理论 · 物理学 2025-04-16 Till Bargheer , Carlos Bercini , Bruno Fernandes , Vasco Gonçalves , Jeremy Mann

In the context of integrated correlators in $\mathcal{N}=4$ SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass-deformed $\mathcal{N}=2^*$ theory in presence of a…

高能物理 - 理论 · 物理学 2023-11-30 M. Billo' , M. Frau , F. Galvagno , A. Lerda

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…

We revisit the strong coupling limit of the cusp anomalous dimension in planar N=4 super Yang-Mills theory. It is known that the strong coupling expansion is asymptotic and non-Borel summable. As a consequence, the cusp anomalous dimension…

高能物理 - 理论 · 物理学 2015-10-28 Daniele Dorigoni , Yasuyuki Hatsuda

The Baxter-like functional equation encoding the spectrum of anomalous dimensions of Wilson operators in maximally supersymmetric Yang-Mills theory available to date ceases to work just before the onset of wrapping corrections. In this…

高能物理 - 理论 · 物理学 2011-08-02 A. V. Belitsky

We use resurgent extrapolation and continuation methods to extract detailed analytic information about the tilted cusp anomalous dimension solely from its weak coupling and strong coupling expansions. This enables accurate and smooth…

高能物理 - 理论 · 物理学 2026-04-27 Gerald V. Dunne

We study at perturbative level the correlation functions of a general class of 1/8 BPS Wilson loops and chiral primaries in N = 4 Super Yang-Mills theory. The contours and the location of operator insertions share a sphere S^2 embedded into…

高能物理 - 理论 · 物理学 2015-06-19 Marisa Bonini , Luca Griguolo , Michelangelo Preti

Relying on a few lowest order perturbative calculations of anomalous dimensions of gauge invariant operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in maximally supersymmetric gauge theory, we…

高能物理 - 理论 · 物理学 2008-11-26 A. V. Belitsky

In the context of AdS/CFT we provide analytical support for the proposed duality between a Wilson loop with a cusp, the cusp anomalous dimension, and the meson model constructed from a rotating open string with high angular momentum. This…

高能物理 - 理论 · 物理学 2020-06-24 R. Espíndola , J. Antonio García

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 study and compute supersymmetric observables for line defects in 3d $\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration involving line operators and local operators living on a linked circle. The algebra of the…

高能物理 - 理论 · 物理学 2023-10-19 Luigi Guerrini

In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional $\mathcal{N}=4$ Chern-Simons-matter theory on $S^3$. The algorithm is to start with a supersymmetric Wilson loop, choose…

高能物理 - 理论 · 物理学 2023-07-05 Ziwen Kong

We investigate elliptical Wilson loops in ${\cal N}=4$ Super Yang--Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form…

高能物理 - 理论 · 物理学 2025-09-15 Thales Azevedo , Alfonso Ballon-Bayona , Leonardo Pazito

We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin j=20, one unit beyond the state of the…

高能物理 - 理论 · 物理学 2025-03-26 B. A. Kniehl , V. N. Velizhanin