Domain Wall Junction in N=2 Supersymmetric QED in four dimensions

TL;DR

This paper presents an exact solution for a domain wall junction in N=2 supersymmetric QED with three massive hypermultiplets, revealing preserved SUSY and zero modes, and clarifies its relation to five-dimensional models.

Contribution

It provides the first exact solution of a domain wall junction in N=2 SUSY QED with detailed SUSY and zero mode analysis, including its five-dimensional connection.

Findings

Preserves two out of eight SUSY charges.

Requires Fay-Iliopoulos term and complex masses.

Identifies zero modes for broken symmetries.

Abstract

An exact solution of domain wall junction is obtained in N=2 supersymmetric (SUSY) QED with three massive hypermultiplets. The junction preserves two out of eight SUSY. Both a (magnetic) Fayet-Iliopoulos (FI) term and complex masses for hypermultiplets are needed to obtain the junction solution. There are zero modes corresponding to spontaneously broken translation, SUSY, and U(1). All broken and unbroken SUSY charges are explicitly worked out in the Wess-Zumino gauge in N=1 superfields as well as in components. The relation to models in five dimensions is also clarified.