Wilson loops for 5d and 3d conformal linear quivers

Abstract

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 participating in the formalism (VEV of Wilson loops, representation, gauge-node) and apply these to examples, connecting some results present in the bibliography. In the case of three dimensional quivers, we present a relation between Wilson loops in an 'electric' and in the 'magnetic/mirror' descriptions. In a very detailed appendix, we relate the electrostatic and holomorphic description of the holographic duals to these SCFTS.

22 pages plus very intensive appendices

References in corpus (7)

• The gravity duals of N=2 superconformal field theories
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Three-dimensional N=4 Linear Quivers and non-Abelian T-duals
• Electrostatic Description of Five-dimensional SCFTs
• N=(0,4) Black String Chains
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$
• Comments on non-Abelian T-duals and their holographic description

Cited by in corpus (6)

• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• 3d defects in 5d: RG flows and defect F-maximization
• Linear Quivers at Large-$N$
• Generalized quotients and holographic duals for 5d S-fold SCFTs
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview