Worldsheet dual of free $\mathcal{N}=2$ quiver gauge theories

TL;DR

This paper identifies the worldsheet dual of certain free 4d $ ext{N}=2$ superconformal quiver theories by applying a $ ext{Z}_k$ orbifold to the known dual of free $ ext{N}=4$ SYM, matching spectra across sectors.

Contribution

It introduces a novel worldsheet dual for a class of 4d $ ext{N}=2$ quiver theories derived from $ ext{N}=4$ SYM via orbifolding, with spectral evidence.

Findings

Spectrum matches in untwisted sectors

Spectrum matches in twisted sectors

Dual description extends to $ ext{N}=2$ quiver theories

Abstract

For a special family of 4d $\mathcal{N}=2$ superconformal quiver theories, the worldsheet dual corresponding to the free theory is identified. This result is obtained from the recently proposed worldsheet dual of free $\mathcal{N}=4$ SYM by applying a $\mathbb{Z}_k$ orbifold. In support of our proposal we show that the spectrum of both the untwisted as well as the twisted sectors coincides between the two descriptions.