Partial spontaneous breakdown of 3-dimensional N=2 supersymmetry

TL;DR

This paper explores models of 3D N=2 supersymmetry that undergo partial spontaneous breaking to N=1, introducing new superfield representations and analyzing their vacuum solutions and interactions.

Contribution

It presents a novel Goldstone-Maxwell superfield representation and demonstrates partial supersymmetry breaking in 3D N=2 models with self-interactions.

Findings

Partial breaking of N=2 to N=1 supersymmetry is possible.

New Goldstone-Maxwell superfield representation introduced.

Models describe interactions of Goldstone multiplets with massive multiplets.

Abstract

The superfield models with the partial spontaneous breaking of the global D=3, N=2 supersymmetry are discussed. The abelian gauge model describes low-energy interactions of the real scalar field with the 3D vector and fermion fields. We introduce the new Goldstone-Maxwell representation of the 3D gauge superfield and show that the partial spontaneous breaking N=2 to N=1 is possible for the non-minimal self-interaction of this modified gauge superfield including the linear Fayet-Iliopoulos term. The dual description of the partial breaking in the model of the self- interacting Goldstone chiral superfield is also considered. These models have the constant vacuum solutions and describe, respectively, the interactions of the N=1 Goldstone multiplets of the D2-brane or supermembrane with the additional massive multiplets.