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Related papers: Holographic Wilson Loops

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In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N=4 super Yang-Mills theory. This is done using the recently established relation between higher…

High Energy Physics - Theory · Physics 2009-11-11 Simone Giombi , Riccardo Ricci , Diego Trancanelli

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…

High Energy Physics - Theory · Physics 2018-11-09 Simone Giombi , Shota Komatsu

We investigate the topological string correspondence of the five-dimensional half-BPS Wilson loops on $S^1$. First, we propose the refined holomorphic anomaly equations for the BPS sectors of the Wilson loop expectation values. We then…

High Energy Physics - Theory · Physics 2023-05-17 Xin Wang

In three dimensional ${\cal N}=4$ Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We…

High Energy Physics - Theory · Physics 2016-09-21 Marco S. Bianchi , Luca Griguolo , Matias Leoni , Andrea Mauri , Silvia Penati , Domenico Seminara

We derive an expression for the vacuum expectation value (vev) of the 1/2 BPS circular Wilson loop of ${\cal N}=4$ super Yang Mills in terms of color invariants, valid for any representation R of any gauge group G. This expression allows us…

High Energy Physics - Theory · Physics 2019-06-26 Bartomeu Fiol , Jairo Martínez-Montoya , Alan Rios Fukelman

We study integrated correlation functions of half-BPS operators in $SU(N)$ $\mathcal{N} = 4$ supersymmetric Yang-Mills theory (SYM) involving two superconformal primary operators in the stress-tensor multiplet and two identical…

High Energy Physics - Theory · Physics 2026-02-06 Francesco Aprile , Daniele Dorigoni , Rudolfs Treilis

We study the integrability properties of Wilson loops in the ${\cal N}=6$ three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the construction of an open spin chain that describes the anomalous dimensions of operators…

High Energy Physics - Theory · Physics 2025-09-17 Diego H. Correa , Victor I. Giraldo-Rivera , Martín Lagares

We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS$_2$ evaluated between Ishibashi states of the algebra $sl(2,\mathbb{R})$. It is given in integral form where the integrand is the global…

High Energy Physics - Theory · Physics 2025-08-12 K. B. Alkalaev , V. S. Khiteev

We consider the expectation value $\langle \cal W \rangle$ of the circular BPS Wilson loop in ${\cal N}=2$ superconformal $SU(N)$ gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and…

High Energy Physics - Theory · Physics 2022-07-28 Matteo Beccaria , Gerald V. Dunne , Arkady A. Tseytlin

Wilson lines in N=4SYM can be computed in terms of branes carrying electric flux, i.e. F-strings dissolved in their worldvolumes. It is then natural to think that those configurations are the effective description of strings expanding due…

High Energy Physics - Theory · Physics 2008-11-26 Diego Rodriguez-Gomez

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

We describe a supersymmetric example of the holographic duality between 3 dimensional vector models and higher spin gauge theories in AdS_4, first proposed in a bosonic context by Klebanov and Polyakov. We argue that a particular…

High Energy Physics - Theory · Physics 2009-11-10 Nemani V. Suryanarayana

We consider the four-dimensional $\mathcal{N}=2$ quiver gauge theory arising from a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills with gauge group $SU(2N)$. We study the integrated correlator between a half-BPS Wilson line and…

High Energy Physics - Theory · Physics 2025-05-09 Alessandro Pini

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

High Energy Physics - Theory · Physics 2018-11-14 Kazumi Okuyama

We study the holographic realization of the $SO(6)_R$ R-symmetry of $\mathcal{N}=4$ super Yang-Mills with unitary gauge group. Focusing on 1/2 BPS states in the $[0,J,0]$ representation of $SO(6)_R$, it is known that depending on the…

High Energy Physics - Theory · Physics 2026-02-02 Francesco Mignosa , Diego Rodriguez-Gomez

We calculate form factors of half-BPS operators in N=4 super Yang-Mills theory at tree level and one loop using novel applications of recursion relations and unitarity. In particular, we determine the expression of the one-loop form factors…

High Energy Physics - Theory · Physics 2011-02-03 Andreas Brandhuber , Bill Spence , Gabriele Travaglini , Gang Yang

In this paper, we compute holographically the two-point and three-point functions of giant gravitons with open strings. We consider the maximal giant graviton in $S^5$ and the string configurations corresponding to the ground states of Z=0…

High Energy Physics - Theory · Physics 2011-06-14 Dongsu Bak , Bin Chen , Jun-Bao Wu

We study classical M5 brane solutions in the probe limit in the $AdS_7 \times S^4$ spacetime geometry with worldvolume 3-form flux. These solutions describe the holography of codimension-4 defects in the 6d boundary dual $\mathcal{N}=(0,2)$…

High Energy Physics - Theory · Physics 2024-04-19 Varun Gupta

We construct smooth asymptotically AdS_5xS^5 solutions of Type IIB supergravity corresponding to all the half-BPS surface operators in N=4 SYM. All the parameters labeling a half-BPS surface operator are identified in the corresponding…

High Energy Physics - Theory · Physics 2009-11-13 Jaume Gomis , Shunji Matsuura

We consider the 1d CFT defined by the half-BPS Wilson line in planar $\mathcal{N}=4$ super Yang-Mills. Using analytic bootstrap methods we derive the four-point function of the super-displacement operator at fourth order in a strong…

High Energy Physics - Theory · Physics 2022-03-10 Pietro Ferrero , Carlo Meneghelli