Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers

TL;DR

This paper advances the study of $ abla=2$ superconformal quiver theories by computing various Wilson loop observables using supersymmetric localization, exploring their holographic duals and defect structures.

Contribution

It extends previous work by evaluating a broad class of Wilson loop correlators and operator insertions, including twisted and untwisted observables, in $ abla=2$ superconformal quiver theories.

Findings

Computed Wilson loop vacuum expectation values.

Analyzed correlators of multiple Wilson loops and chiral operators.

Identified observables probing the orbifold holographic dual.

Abstract

We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the help of supersymmetric localization. We compute Wilson loop vacuum expectation values, correlators of multiple coincident Wilson loops and one-point functions of chiral operators in presence of them acting as superconformal defects. We extend this analysis to the most general case considering chiral operators and multiple Wilson loops scattered in all the possible ways among the vector multiplets of the quiver. Finally, we identify twisted and untwisted observables which probe the orbifold of $AdS_5\times S^5$ with the aim of testing possible holographic perspectives of quiver theories in $\mathcal{N}=2$.