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Related papers: Wilson Loops in Superconformal Chern-Simons Theory…

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In earlier work we proposed a string theory dual to two dimensional Yang-Mills theory at zero coupling (which can also be thought of as a $BF$ theory), given by a Polyakov-like generalization of Ho\v rava's topological rigid string theory,…

High Energy Physics - Theory · Physics 2025-10-28 Ofer Aharony , Suman Kundu , Tal Sheaffer

We consider the correlation function of a circular Wilson loop with two local scalar operators at generic 4-positions in planar N=4 supersymmetric gauge theory. We show that such correlator is fixed by conformal invariance up to a function…

High Energy Physics - Theory · Physics 2013-05-30 E. I. Buchbinder , A. A. Tseytlin

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

N = 6 superconformal Chern-Simons theory was proposed as gauge theory dual to Type IIA string theory on AdS4*CP3. We study integrability of the theory from conformal dimension spectrum of single trace operators at planar limit. At strong `t…

High Energy Physics - Theory · Physics 2009-02-09 Dongsu Bak , Soo-Jong Rey

We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled to 2N_f chiral multiplets deformed by mass terms. The partition function localizes to a matrix integral, which can be exactly computed in the large N limit. In a…

High Energy Physics - Theory · Physics 2015-06-18 Alejandro Barranco , Jorge G. Russo

The AdS/CFT correspondence identifies the coordinates of the conformal boundary of anti-de Sitter space with the coordinates of the conformal field theory. We generalize this identification to theories formulated in superspace. As an…

High Energy Physics - Theory · Physics 2009-10-31 Hirosi Ooguri , J. Rahmfeld , Harlan Robins , Jonathan Tannenhauser

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

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

High Energy Physics - Theory · Physics 2008-11-26 B. Basso , G. P. Korchemsky

The 1/2-BPS Wilson loop in $\mathcal{N}=4$ supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the…

High Energy Physics - Theory · Physics 2020-12-02 Simone Giombi , Jiaqi Jiang , Shota Komatsu

We investigate a \Pi-shape Wilson loop in N=4 super Yang--Mills theory, which lies partially at the light-cone, and consider an associated open superstring in AdS_5 x S^5. We discuss how this Wilson loop determines the anomalous dimensions…

High Energy Physics - Theory · Physics 2009-11-07 Yuri Makeenko

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

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution…

High Energy Physics - Theory · Physics 2019-11-20 Wolfgang Mück

We propose a method to calculate the expectation values of an operator similar to the Wilson loop in the large N limit of field theories. We consider N=4 3+1 dimensional super-Yang-Mills. The prescription involves calculating the area of a…

High Energy Physics - Theory · Physics 2016-09-06 Juan M. Maldacena

In this paper we investigate the large-$N$ behavior of 5-dimensional $\mathcal{N}=1$ super Yang-Mills with a level $k$ Chern-Simons term and an adjoint hypermultiplet. As in three-dimensional Chern-Simons theories, one must choose an…

High Energy Physics - Theory · Physics 2015-02-26 Joseph A. Minahan , Anton Nedelin

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…

High Energy Physics - Theory · Physics 2021-07-06 Wolfgang Mück

We construct a generalized cusped Wilson loop operator in N = 6 super Chern-Simons-matter theories which is locally invariant under half of the supercharges. It depends on two parameters and interpolates smoothly between the 1/2 BPS line or…

High Energy Physics - Theory · Physics 2015-06-11 Luca Griguolo , Daniele Marmiroli , Gabriele Martelloni , Domenico Seminara

We present a large new family of Wilson loop operators in N=4 supersymmetric Yang-Mills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two…

High Energy Physics - Theory · Physics 2008-11-26 Nadav Drukker , Simone Giombi , Riccardo Ricci , Diego Trancanelli

We construct new large classes of BPS Wilson hyperloops in three-dimensional ${\cal N}=4$ quiver Chern-Simons-matter theory on $S^3$. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination…

High Energy Physics - Theory · Physics 2022-08-22 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli

In arXiv:0908.2463 we computed the four-loop correction to a function depending on the 't Hooft coupling(s) that appears in the magnon dispersion relation of the spin chains derived from single trace operators in N=6 superconformal…

High Energy Physics - Theory · Physics 2011-02-21 J. A. Minahan , O. Ohlsson Sax , C. Sieg

In this paper we study the expectation value of deformations of the circular Wilson loop in ${\cal N}=4$ super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from…

High Energy Physics - Theory · Physics 2019-01-15 Michael Cooke , Amit Dekel , Nadav Drukker , Diego Trancanelli , Edoardo Vescovi