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

TL;DR

This paper computes chiral correlators in a class of four-dimensional $ ext{N}=2$ superconformal quiver theories, using matrix models and field theory, revealing observables that differ from $ ext{N}=4$ at high perturbative orders.

Contribution

It introduces an efficient algorithm for calculating correlation functions in $ ext{N}=2$ superconformal quivers, combining localization and explicit field theory methods.

Findings

Successful computation of correlators using matrix models and superspace formalism.

Identification of observables deviating from $ ext{N}=4$ behavior at high perturbation orders.

Development of a symmetry-exploiting algorithm for large $N$ calculations.

Abstract

We consider a family of $\mathcal{N}=2$ superconformal field theories in four dimensions, defined as $\mathbb{Z}_q$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a perturbative level, using both the matrix model approach arising from supersymmetric localisation on the four-sphere and explicit field theory calculations on the flat space using the $\mathcal{N}=1$ superspace formalism. We implement a highly efficient algorithm to produce a large number of results for finite values of $N$, exploiting the symmetries of the quiver to reduce the complexity of the mixing between the operators. Finally the interplay with the field theory calculations allows to isolate special observables which deviate from $\mathcal{N}=4$ only at high orders in perturbation theory.