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

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.

arXiv comment45 pages, 12 figures and 1 table. Mathematica notebook in the attachments

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