# Living on the walls of super-QCD

## TL;DR

This paper investigates BPS domain walls in massive SQCD with gauge group SU(N) and F<N flavors, proposing a 3D Chern-Simons-matter theory to describe their effective dynamics, revealing phase transitions and supersymmetry enhancements.

## Contribution

It introduces a novel 3D Chern-Simons-matter framework that accurately models BPS domain walls in massive SQCD, extending previous results and capturing phase transitions.

## Key findings

- Matching of vacua with 4D BPS solutions
- Identification of second-order phase transitions
- Supersymmetry enhancement at special parameters

## Abstract

We study BPS domain walls in four-dimensional $\mathcal{N}=1$ massive SQCD with gauge group $SU(N)$ and $F<N$ flavors. We propose a class of three-dimensional Chern-Simons-matter theories to describe the effective dynamics on the walls. Our proposal passes several checks, including the exact matching between its vacua and the solutions to the four-dimensional BPS domain wall equations, that we solve in the small mass regime. As the flavor mass is varied, domain walls undergo a second-order phase transition, where multiple vacua coalesce into a single one. For special values of the parameters, the phase transition exhibits supersymmetry enhancement. Our proposal includes and extends previous results in the literature, providing a complete picture of BPS domain walls for $F<N$ massive SQCD. A similar picture holds also for SQCD with gauge group $Sp(N)$ and $F < N+1$ flavors.