Vladimir Bashmakov, Francesco Benini, Sergio Benvenuti, Matteo Bertolini
SciPost Phys. 6, 044 (2019) ·
published 15 April 2019

· pdf
We study BPS domain walls in fourdimensional $\mathcal{N}=1$ massive SQCD
with gauge group $SU(N)$ and $F<N$ flavors. We propose a class of
threedimensional ChernSimonsmatter 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 fourdimensional BPS domain
wall equations, that we solve in the small mass regime. As the flavor mass is
varied, domain walls undergo a secondorder 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.