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We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory for gauge groups of rank larger than one on compact four-manifolds $X$. We find that the topological invariance of the generator…

High Energy Physics - Theory · Physics 2017-09-07 Marcos Marino , Gregory Moore

We consider topologically twisted $\mathcal{N}=2$, $SU(2)$ gauge theory with a massive adjoint hypermultiplet on a smooth, compact four-manifold $X$. A consistent formulation requires coupling the theory to a ${\rm Spin}^c$ structure, which…

High Energy Physics - Theory · Physics 2021-04-20 Jan Manschot , Gregory W. Moore

We perform a non-perturbative study of pure gauge theory in a two dimensional non-commutative (NC) space. On the lattice, it is equivalent to the twisted Eguchi-Kawai model, which we simulated at N ranging from 25 to 515. We observe a clear…

High Energy Physics - Theory · Physics 2009-11-07 W. Bietenholz , F. Hofheinz , J. Nishimura

We consider higher spin operators in weakly coupled gauge conformal field theories. Crossing symmetry of mixed scalar correlators relates different higher spin towers and we study the consequences for the spectrum and structure constants of…

High Energy Physics - Theory · Physics 2018-01-17 Luis F. Alday , Agnese Bissi

We consider 1/2-BPS circular Wilson loops in a class of 5d superconformal field theories on S^5. The large N limit of the vacuum expectation values of Wilson loops are computed both by localization in the field theory and by evaluating the…

High Energy Physics - Theory · Physics 2014-02-20 Benjamin Assel , John Estes , Masahito Yamazaki

Wilson loops have been measured at strong coupling, $\beta=0.5$, on a $12^4$ lattice in noncompact simulations of pure SU(2) without gauge fixing. There is no sign of quark confinement.

High Energy Physics - Lattice · Physics 2009-10-22 Kevin Cahill

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

A perturbative calculation of the correlator of three parallel open Wilson lines is performed for the U(N) theory in two non-commutative space-time dimensions. In the large-N planar limit, the perturbative series is fully resummed and…

High Energy Physics - Theory · Physics 2009-11-10 A. Bassetto , G. De Pol , F. Vian

We compute the large N limit of Wilson loop expectation values for a broad class of N=2 supersymmetric gauge theories defined on a general class of background three-manifolds M_3, diffeomorphic to S^3. We find a simple closed formula which…

High Energy Physics - Theory · Physics 2015-06-19 Daniel Farquet , James Sparks

We describe a combinatorial approach to the analysis of the shape and orientation dependence of Wilson loop observables on two-dimensional noncommutative tori. Morita equivalence is used to map the computation of loop correlators onto the…

High Energy Physics - Theory · Physics 2009-11-11 Michele Cirafici , Luca Griguolo , Domenico Seminara , Richard J. Szabo

An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N=4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and…

High Energy Physics - Theory · Physics 2014-11-18 J. M. Henn

We analyse a light-like cusped Wilson loop in N=6 superconformal Chern-Simons theory at both weak and strong coupling in light-cone gauge. At the second order in the 't Hooft coupling $\lambda$ the correct cusp anomalous dimension…

High Energy Physics - Theory · Physics 2012-11-21 Daniele Marmiroli

We present a detailed analysis of integrated correlators for an $\mathcal{N}=2$ superconformal field theory on a squashed sphere with SU$(N)$ gauge group and fundamental/anti-symmetric matter. Employing the matrix model arising from…

High Energy Physics - Theory · Physics 2026-02-27 L. De Lillo , Z. Duan , M. Frau , F. Galvagno , A. Lerda , P. Vallarino , C. Wen

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…

High Energy Physics - Theory · Physics 2015-05-27 Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , CarloAlberto Ratti , Alberto Santambrogio

We derive the planar dilatation operator in the closed subsector of scalar composite operators of an N=2 superconformal quiver gauge theory to three loops. By tuning the ratio of its two gauge couplings we interpolate between a Z_2 orbifold…

High Energy Physics - Theory · Physics 2011-05-19 Elli Pomoni , Christoph Sieg

We provide a quantum path integral definition of an 't Hooft loop operator, which inserts a pointlike monopole in a four dimensional gauge theory. We explicitly compute the expectation value of the circular 't Hooft operators in N=4 super…

High Energy Physics - Theory · Physics 2022-12-01 Jaume Gomis , Takuya Okuda , Diego Trancanelli

Quiver theories constitute an important class of supersymmetric gauge theories with well-defined holographic duals. Motivated by holographic duality, we use localisation on $S^d$ to study long linear quivers at large-N. The large-N solution…

High Energy Physics - Theory · Physics 2024-12-12 Carlos Nunez , Leonardo Santilli , Konstantin Zarembo

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 give a path integral prescription for the pair correlation function of Wilson loops lying in the worldvolume of Dbranes in the bosonic open and closed string theory. The results can be applied both in ordinary flat spacetime in the…

High Energy Physics - Theory · Physics 2009-10-31 S. Chaudhuri , Y. Chen , E. Novak

We compute the correlation functions of Polyakov loops in $SU(N_c)$ gauge theories by explicitly summing all diagrams at tree level in two special cases, for $N_c = 2$ and $N_c = \infty$. When $N_c =2$ we find the expected we find…

High Energy Physics - Phenomenology · Physics 2015-02-05 Robert D. Pisarski , Vladimir V. Skokov