Aharony Dualities for 3d Theories with Adjoint Matter

TL;DR

This paper investigates Aharony dualities in 3d N=2 gauge theories with classical gauge groups and adjoint matter, confirming dualities through superconformal index calculations and monopole operator analysis.

Contribution

It provides a detailed analysis of Aharony dualities involving adjoint matter, including superconformal index computations and monopole operator enumeration, confirming nonperturbative chiral ring truncations.

Findings

Superconformal indices match for dual pairs

Monopole operators parametrize Coulomb branches

Chiral rings are truncated nonperturbatively

Abstract

We study Aharony dualities for 3d N=2 gauge theories of classical gauge group with one adjoint and fundamental matters. We work out the 3d superconformal index for the dual pairs to find the perfect matchings. Along with it, we enumerate the independent monopole operators parametrizing the Coulomb branches and confirm the nonperturbative truncation of the chiral rings, consistent with the proposed dualities.