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 the expressions for 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.