Kinks inside supersymmetric domain ribbons

Abstract

We study a variety of supersymmetric systems describing sixth-order interactions between two coupled real superfields in $2+1$ dimensions. We search for BPS domain ribbon solutions describing minimum energy static field configurations that break one half of the supersymmetries. We then use the supersymmetric system to investigate the behavior of mesons and fermions in the background of the defects. In particular, we show that certain BPS domain ribbons admit internal structure in the form of bosonic kinks and fermionic condensate, for a given range of the two parameters that completely identify the class of systems.