Complete factorization of equations of motion in Wess-Zumino theory

TL;DR

This paper proves that equations of motion for domain walls in a specific Wess-Zumino theory can be factorized into simpler first-order equations, showing all defects are of BPS type.

Contribution

It demonstrates the complete factorization of equations of motion in Wess-Zumino theory with one chiral multiplet, establishing all defects as BPS solutions.

Findings

Equations of motion can be fully factorized into first-order Bogomol'nyi equations.

All topological defects in this theory are of BPS type.

The result simplifies the analysis of domain walls in this model.

Abstract

We prove that the equations of motion describing domain walls in a Wess-Zumino theory involving only one chiral matter multiplet can be factorized into first order Bogomol'nyi equations, so that all the topological defects are of the Bogomol'nyi-Prasad-Sommerfield type.