BPS Wall in N=2 SUSY Nonlinear Sigma Model with Eguchi-Hanson Manifold

TL;DR

This paper constructs BPS wall solutions in an N=2 supersymmetric nonlinear sigma model with Eguchi-Hanson target space, using a hyper-Kahler quotient approach in superfield form, advancing understanding of supersymmetric solitons.

Contribution

It provides a manifestly supersymmetric construction of BPS walls in an N=2 sigma model with Eguchi-Hanson geometry, employing a hyper-Kahler quotient in superfield formalism.

Findings

Explicit BPS wall solutions in the model.

Relations between different parameterizations of the model.

Methodology applicable to similar supersymmetric models.

Abstract

BPS wall solutions are obtained for N=2 supersymmetric nonlinear sigma model with Eguchi-Hanson target manifold in a manifestly supersymmetric manner. The model is constructed by a massive hyper-Kahler quotient method both in the N=1 superfield and in the N=2 superfield (harmonic superspace). We describe the model in simple terms and give relations between various parameterizations which are useful to describe the model and the solution. Some more details can be found in our previous paper [hep-th/0211103]. This article is dedicated to Professor Hiroshi Ezawa on the occasion of his seventieth birthday.