Comments on 3d Seiberg-like dualities

TL;DR

This paper explores new Seiberg-like dualities in 3D N=2 supersymmetric theories with Chern-Simons terms, deriving them from Aharony duality and verifying through partition function matching.

Contribution

It introduces novel dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups, extending dualities to quiver theories and other gauge groups.

Findings

Derived dualities from Aharony duality via real mass deformations.

Verified dualities by matching localized partition functions on squashed S^3.

Extended dualities to symplectic and orthogonal gauge groups.

Abstract

We study Seiberg-like dualities in three dimensional N=2 supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S^3 match between dual descriptions.