Manifest Supersymmetry for BPS Walls in N=2 Nonlinear Sigma Models

TL;DR

This paper develops a manifestly supersymmetric framework for analyzing BPS wall solutions in N=2 nonlinear sigma models with T*CP(n) target spaces, using superfield formalisms and hyper-Kahler quotients.

Contribution

It introduces a massive hyper-Kahler quotient construction in N=1 superfields and harmonic superspace that preserves all supersymmetry, enabling explicit BPS wall solutions.

Findings

BPS equations are derived with manifest supersymmetry.

Explicit wall solutions are obtained for the n=1 case.

The formalism preserves all supersymmetry explicitly.

Abstract

BPS equations and wall solutions are studied keeping (part of) supersymmetry (SUSY) manifest. Using N=1 superfields, massive hyper-Kahler quotient is introduced to obtain massive N=2 (8 SUSY) nonlinear sigma models in four dimensions with T*CP(n) target manifold, which yield BPS wall solutions for the n=1 case. We also describe massive hyper-Kahler quotient of T*CP(n) by using the harmonic superspace formalism which preserves all SUSY manifestly, and BPS equations and wall solutions are obtained in the n=1 case.