Chiral dualities for SQCD$_{3}$ with D-type superpotential

TL;DR

This paper classifies dualities in 3d chiral SQCD with D-type superpotentials, analyzing their consistency through partition functions and extending known dualities to new gauge groups and matter content.

Contribution

It provides a complete classification of dualities for 3d chiral SQCD with D-type superpotentials, including new non-chiral dualities and consistency checks via partition functions.

Findings

Classification of dualities based on fundamentals, anti-fundamentals, and Chern-Simons level.

Verification of dualities through partition function identities and contact term analysis.

Extension of dualities to USp gauge groups with antisymmetric matter.

Abstract

We study dualities for $3d$ $\text{U}(N_{c})_k$ chiral SQCD with $D_{n+2}$-type superpotential, with $n$ odd. We give a complete classification of such dualities in terms of the number of fundamentals and anti-fundamentals and the Chern-Simons level. The classification is obtained by real mass and Higgs flows from non-chiral dualities and we check the consistency of the new non-chiral dualities at the level of the partition function. We we also check that the complex phases appearing in the integral identities between the partition functions are consistent with the contact terms computed as quantum corrections to the effective Chern-Simons level. The $\text{SU}(N_{c})_k$ cases are recovered by gauging the topological symmetry from the $\text{U}(N_{c})$ dualities. Finally, we consider the case of $\text{USp}(2N_{c})_{2k}$ with two antisymmetric tensors and $D_{n+2}$-type superpotential.