Mildly Flavoring domain walls in SU(N) SQCD: baryons and monopole superpotentials

TL;DR

This paper investigates supersymmetric domain walls in 4d SU(N) SQCD with N and N+1 flavors, analyzing their properties through numerical solutions and proposing 3d gauge theories with novel features like baryonic symmetry breaking and monopole superpotentials.

Contribution

It introduces new solutions and 3d gauge theory descriptions for domain walls in SU(N) SQCD with N and N+1 flavors, highlighting phenomena absent in the F<N regime.

Findings

Solutions breaking U(1) baryonic symmetry with N flavors.

Proposal of 3d theories with monopole superpotentials for N+1 flavors.

Numerical analysis of BPS equations in 4d.

Abstract

We study supersymmetric domain walls of four dimensional $SU(N)$ SQCD with $N$ and $N+1$ flavors. In $4d$ we analyze the BPS differential equations numerically. In $3d$ we propose the $\mathcal{N}=1$ Chern-Simons-Matter gauge theories living on the walls. Compared with the previously studied regime of $F<N$ flavors, we encounter a couple of novelties: with $N$ flavors, there are solutions/vacua breaking the $U(1)$ baryonic symmetry; with $N+1$ flavors, our $3d$ proposal includes a linear monopole operator in the superpotential.