Kinks Inside Supersymmetric Domain Ribbons

TL;DR

This paper explores supersymmetric systems with sixth-order interactions in 2+1 dimensions, identifying BPS domain ribbons with internal structures like bosonic kinks and fermionic condensates, and analyzing their effects on mesons and fermions.

Contribution

It introduces a class of supersymmetric models with sixth-order interactions and characterizes BPS domain ribbon solutions with internal structures, advancing understanding of defect behavior in supersymmetry.

Findings

BPS domain ribbons can have internal bosonic and fermionic structures.

Certain parameter ranges admit internal kinks and condensates within the ribbons.

The system's behavior influences meson and fermion dynamics in defect backgrounds.

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.