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Related papers: Symmetric Wilson Loops beyond leading order

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We present a new, two-parameter family of string solutions corresponding to the holographic duals of specific 1/8-BPS Wilson loops on S^2 in N = 4 supersymmetric Yang-Mills theory. The solutions are obtained using the dressing method on the…

High Energy Physics - Theory · Physics 2011-08-09 Chrysostomos Kalousios , Donovan Young

We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level…

High Energy Physics - Theory · Physics 2012-06-18 Niklas Beisert , Song He , Burkhard U. W. Schwab , Cristian Vergu

Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

High Energy Physics - Theory · Physics 2015-06-15 Johannes M. Henn , Tobias Huber

We find a new duality for form factors of lightlike Wilson loops in planar $\mathcal N=4$ super-Yang-Mills theory. The duality maps a form factor involving an $n$-sided lightlike polygonal super-Wilson loop together with $m$ external…

High Energy Physics - Theory · Physics 2016-12-16 Dmitry Chicherin , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We discuss Wilson loop averages in 4-dimensional non-commutative superYang-Mills theory using the dual supergravity description. We postulate that the Wilson loops are located at the mimimum length scale $R$ in the fifth radial coordinate.…

High Energy Physics - Theory · Physics 2009-10-31 A. Dhar , Y. Kitazawa

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…

High Energy Physics - Theory · Physics 2015-06-17 Bartomeu Fiol , Genis Torrents

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 propose that the complete planar S-matrix of N=4 super Yang-Mills - including all N^kMHV partial amplitudes to all loops - is equivalent to the correlation function of a supersymmetric Wilson loop in twistor space. Remarkably, the entire…

High Energy Physics - Theory · Physics 2010-12-09 Lionel Mason , David Skinner

We present non-perturbative results for U(1) gauge theory in spaces, which include a non-commutative plane. In contrast to the commutative space, such gauge theories involve a Yang-Mills term, and the Wilson loop is complex on the…

High Energy Physics - Theory · Physics 2015-06-26 W. Bietenholz , A. Bigarini , F. Hofheinz , J. Nishimura , Y. Susaki , J. Volkholz

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a…

High Energy Physics - Theory · Physics 2010-12-21 Anton Kapustin , Brian Willett , Itamar Yaakov

We prove that in the limit when its insertion points become pairwise null-separated, the ratio of certain n-point correlation functions in N=4 SYM is equal to a supersymmetric Wilson loop on twistor space, acting in the adjoint…

High Energy Physics - Theory · Physics 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner

We study the phase transitions of three-dimensional $\mathcal{N}=2$ $U(N)$ Chern-Simons theory on $\mathbb{S}^3$ with a varied number of massive fundamental hypermultiplets and with a Fayet-Iliopoulos parameter. We characterize the various…

High Energy Physics - Theory · Physics 2019-09-10 Leonardo Santilli , Miguel Tierz

We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find…

High Energy Physics - Theory · Physics 2010-02-03 Timothy J. Hollowood , Valentin V. Khoze , Gabriele Travaglini

We consider 4-dimensional $\mathcal{N} = 2$ superconformal quiver theories with $SU(N)^M$ gauge group and bi-fundamental matter and we evaluate correlation functions of $n$ coincident Wilson loops in the planar limit of the theory.…

High Energy Physics - Theory · Physics 2023-12-06 Alessandro Pini , Paolo Vallarino

Null Wilson loops in $\mathcal{N}=4$ super Yang-Mills are dual to planar scattering amplitudes. This duality implies hidden symmetries for both objects. We consider closely related infrared finite observables, defined as the Wilson loop…

High Energy Physics - Theory · Physics 2022-02-14 Dmitry Chicherin , Johannes M. Henn

We examine the relation between supersymmetric localization on $\mathbb{S}^4$ and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU($N$)…

High Energy Physics - Theory · Physics 2024-08-14 Marco Billo' , Luca Griguolo , Alessandro Testa

In this paper we present results from numerical simulations of N=4 super Yang-Mills for two color gauge theory over a wide range of 't Hooft coupling $0<\lambda\le 30$ using a supersymmetric lattice action \cite{Catterall:2009it}. Numerical…

High Energy Physics - Lattice · Physics 2021-02-03 Simon Catterall , Joel Giedt , Goksu can Toga

In this work, we compute the two-loop result of the null hexagonal Wilson loop with a Lagrangian insertion in planar, maximally supersymmetric Yang-Mills theory via a bootstrap approach. Normalized by the null polygonal Wilson loop itself,…

High Energy Physics - Theory · Physics 2025-05-05 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

I put forward the stringy representation of the 1/N strong coupling (SC) expansion for the regularized Wilson's loop-averages in the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare coupling constant…

High Energy Physics - Theory · Physics 2009-11-07 Andrey Yu. Dubin

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…

High Energy Physics - Theory · Physics 2015-05-19 Luis F. Alday , Burkhard Eden , Gregory P. Korchemsky , Juan Maldacena , Emery Sokatchev
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