Classification of monopole deformed 3d $\mathcal{N}=2$ Seiberg-like duality with an adjoint matter

TL;DR

This paper introduces a new 3d $\

Contribution

It classifies all monopole deformed Kim-Park dualities up to quadratic terms, showing their equivalence to known dualities and unifying them with Aharony and Benini-Benvenuti-Pasquetti dualities.

Findings

All monopole deformed Kim-Park dualities up to quadratic terms are classified.

These dualities are shown to be equivalent to original Kim-Park or the new duality.

Unified framework with Aharony and Benini-Benvenuti-Pasquetti dualities.

Abstract

We propose a new 3d $\mathcal{N}=2$ Seiberg-like duality of adjoint SQCD(Kim-Park duality) with linear monopole superpotential terms which encompasses known monopole deformed Kim-Park dualities. Equipped with this, we classify all the monopole deformed Kim--Park dualities up to quadratic powers of monopole deformations, and find all are equivalent either to the original Kim--Park, or to the proposed duality. With the recently developed deconfined perspective, this means all the working monopole deformed Kim--Park dualities up to quadratic terms are assembled by the Aharony and Benini-Benvenuti-Pasquetti dualities.