BPS Domain Walls in Models with Flat Directions

TL;DR

This paper investigates BPS domain walls in four-dimensional N=1 supersymmetric models with continuous global symmetries, focusing on solutions connecting flat directions in the moduli space.

Contribution

It constructs explicit BPS domain wall solutions in models with global O(2) symmetry, highlighting the existence of complex walls interpolating between flat directions.

Findings

BPS solutions preserve global symmetry due to covariant equations

Existence of complex BPS walls connecting disjoint flat directions

Explicit solutions constructed in models with O(2) symmetry

Abstract

We consider BPS domain walls in the four dimensional N=1 supersymmetric models with continuous global symmetry. Since the BPS equation is covariant under the global transformation, the solutions of the BPS walls also have the global symmetry. The moduli space of the supersymmetric vacua in such models have non-compact flat directions, and the complex BPS walls interpolating between two disjoint flat directions can exist. We examine this possibility in two models with global O(2) symmetry, and construct the solution of such BPS walls.