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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

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 the fate of reparametrization invariance of Wilson loops, also known as 'zig-zag' symmetry, under the RG flow using some simple cases as guidance. We restrict our analysis to large-$N$, strongly coupled CFTs and use the holographic…

高能物理 - 理论 · 物理学 2022-10-26 Diego Gutiez , Carlos Hoyos

The average of two Wilson loops is expressed in terms of gauge invariant field strength correlators. Assuming the existence of finite correlation length $T_g$ and taking into account the absence of a fixed direction in colour space, we…

高能物理 - 唯象学 · 物理学 2009-09-25 A. Yu. Dubin , Yu. S. Kalashnikova

We study at quantum level correlators of supersymmetric Wilson loops with contours lying on Hopf fibers of $S^3$. In $\mathcal{N}=4$ SYM theory the strong coupling analysis can be performed using the AdS/CFT correspondence and a connected…

高能物理 - 理论 · 物理学 2015-03-20 Luca Griguolo , Stefano Mori , Fabrizio Nieri , Domenico Seminara

We study the correlators of the 2d W_N minimal model in the semiclassical regime with large central charge from bulk viewpoint by utilizing open Wilson lines in sl(N) Chern-Simons gauge theory. We extend previous works for the tree level of…

高能物理 - 理论 · 物理学 2017-12-01 Yasuaki Hikida , Takahiro Uetoko

We give a brief expository discussion on the holographic correspondence of correlation functions in the large J limit of AdS/CFT conjecture. We first review our proposals on the interpretation of the so-called GKPW relation in the large J…

高能物理 - 理论 · 物理学 2008-11-26 Tamiaki Yoneya

The evaluation of BPS Wilson loops in N=6, D=3 Chern-Simons matter theory is reduced to ordinary matrix integrals via localization technique. It is easy to check that the vacuum expectation value of 1/2 BPS Wilson loops at leading order in…

高能物理 - 理论 · 物理学 2015-06-04 Hyojoong Kim , Nakwoo Kim , Jung Hun Lee

An explicit solution is found for the most general independent correlation functions in lattice QCD$_2$ with Wilson action. The large-$N$ limit of these correlations may be used to reconstruct the eigenvalue distributions of Wilson loop…

高能物理 - 格点 · 物理学 2009-10-28 P. Rossi , E. Vicari

We reduce the computation of three point function of three spinning operators with arbitrary polarizations to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the…

高能物理 - 理论 · 物理学 2022-10-19 Carlos Bercini , Vasco Goncalves , Alexandre Homrich , Pedro Vieira

We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the…

高能物理 - 理论 · 物理学 2021-11-24 Francesco Galvagno , Michelangelo Preti

We start with an n-point correlation function in a conformal gauge theory. We show that a special limit produces a polygonal Wilson loop with $n$ sides. The limit takes the $n$ points towards the vertices of a null polygonal Wilson loop…

高能物理 - 理论 · 物理学 2015-05-19 Luis F. Alday , Burkhard Eden , Gregory P. Korchemsky , Juan Maldacena , Emery Sokatchev

A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yang-Mills. At six-point two-loop, the results for the planar gluon MHV amplitude and for the light-like Wilson loop…

高能物理 - 理论 · 物理学 2011-02-28 Jian-Hui Zhang

We study three-dimensional conformal field theories with a large-$N$ limit. Leveraging the framework of slightly broken higher-spin symmetry, we bootstrap correlation functions between the single-trace, local operators and straight,…

高能物理 - 理论 · 物理学 2025-05-16 Gwenaël Ferrando , Amit Sever , Elior Urisman

We study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

高能物理 - 理论 · 物理学 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

We develop the relation between gravitational Wilson line networks, defined as a particular product of Wilson line operators averaged over the cap states, and conformal correlators in the context of the AdS$_2$/CFT$_1$ correspondence. The…

高能物理 - 理论 · 物理学 2023-11-30 K. B. Alkalaev , A. O. Kanoda , V. S. Khiteev

Following Polchinski and Sully (arXiv:1104.5077), we consider a generalized Wilson loop operator containing a constant parameter $\zeta$ in front of the scalar coupling term, so that $\zeta=0$ corresponds to the standard Wilson loop, while…

高能物理 - 理论 · 物理学 2021-10-12 Matteo Beccaria , Simone Giombi , Arkady Tseytlin

We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of D$p$-branes in the large-$N$ and strong-coupling limit. The relevant supergravity backgrounds…

高能物理 - 理论 · 物理学 2025-10-23 Nikolay Bobev , Guillermo Mera Álvarez , Hynek Paul

Wilson loops which are small deviations from straight, infinite lines, called wavy lines, are considered in the context of the AdS/CFT correspondence. A single wavy line and the connected correlation function of a straight and wavy line are…

高能物理 - 理论 · 物理学 2009-11-10 Gordon W. Semenoff , Donovan Young

Within the electrostatic formulation of holographic duals to (balanced) conformal quivers in five and three dimensions, we study Wilson loops in antisymmetric representations. We derive general expressions for various quantities…

高能物理 - 理论 · 物理学 2023-03-22 Ali Fatemiabhari , Carlos Nunez