# Large $N$ correlation functions in $\mathcal{N}=2$ superconformal quivers

## TL;DR

This paper uses supersymmetric localization to analyze large N $ ext{N}=2$ superconformal quiver gauge theories, providing explicit perturbative computations of correlation functions and revealing sector-specific cancellations.

## Contribution

It introduces a universal construction for the partition function and explicit perturbative methods for correlation functions in large N $ ext{N}=2$ quiver theories, highlighting differences from $ ext{N}=4$ SYM.

## Key findings

- Partition function built from universal blocks.
- Perturbation series converges for $|bla_I|<pi^2$.
- Explicit computation of two-point functions to arbitrary order.

## Abstract

Using supersymmetric localization, we consider four-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained from $\mathbb{Z}_n$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory in the large $N$ limit at weak coupling. In particular, we show that: 1) The partition function for arbitrary couplings can be constructed in terms of universal building blocks. 2) It can be computed in perturbation series, which converges uniformly for $|\lambda_I|<\pi^2$, where $\lambda_I$ are the 't Hooft coupling of the gauge groups. 3) The perturbation series for two-point functions can be explicitly computed to arbitrary orders. There is no universal effective coupling by which one can express them in terms of correlators of the $\mathcal{N}=4$ theory. 4) One can define twisted and untwisted sector operators. At the perturbative orbifold point, when all the couplings are the same, the correlators of untwisted sector operators coincide with those of $\mathcal{N}=4$ Super Yang-Mills theory. In the twisted sector, we find remarkable cancellations of a certain number of planar loops, determined by the conformal dimension of the operator.