Multi-Domain Walls in Massive Supersymmetric Sigma-Models

TL;DR

This paper explores multiple supersymmetric domain wall solutions in massive sigma models, analyzing their moduli space, BPS configurations, and similarities to monopole dynamics, with detailed focus on the cotangent bundle of CP^n.

Contribution

It demonstrates the existence of multi-kink BPS solutions and characterizes their moduli space geometry, especially for the cotangent bundle of CP^n with the Calabi metric.

Findings

Existence of multi-kink BPS solutions with arbitrary separation.

The moduli space admits a natural Kahler metric.

Description of 1/4-BPS intersecting domain walls.

Abstract

Massive maximally-supersymmetric sigma models are shown to exhibit multiple static kink-domain wall solutions that preserve 1/2 of the supersymmetry. The kink moduli space admits a natural Kahler metric. We examine in some detail the case when the target of the sigma model is given by the co-tangent bundle of CP^n equipped with the Calabi metric, and we show that there exist BPS solutions corresponding to n kinks at arbitrary separation. We also describe how 1/4-BPS charged and intersecting domain walls are described in the low-energy dynamics on the kink moduli space. We comment on the similarity of these results to monopole dynamics.