Wilson loops for 5d and 3d conformal linear quivers

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, represen-tation, 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.Crown Copyright (c) 2023 Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

Within the electrostatic formulation, the expressions for Wilson loops in antisymmetric representations are studied in holographic duals of (balanced) conformal quivers in five and three dimensions. General expressions for various quantities participating in the formalism are derived and applied to examples, connecting some results present in the bibliography. In the case of three-dimensional quivers, a relation between Wilson loops in an 'electric' and in the 'magnetic/mirror' descriptions is presented. A detailed appendix relates the electrostatic and holomorphic description of the holographic duals to these strong coupling field theories.