Aspects of Spontaneous N=2 -> N=1 Breaking in Supergravity

TL;DR

This paper explores the geometric conditions necessary for spontaneous N=2 to N=1 supersymmetry breaking in supergravity and examines the resulting low-energy effective Lagrangian's consistency.

Contribution

It identifies geometric criteria for supersymmetry breaking and analyzes the constraints on the scalar manifold in the low-energy effective theory.

Findings

Necessary geometric conditions for N=2 to N=1 breaking

Consistency conditions on the low-energy effective Lagrangian

Relations between scalar manifold geometry and supersymmetry breaking

Abstract

We discuss some issues related to spontaneous N=2-> N=1 supersymmetry breaking. In particular, we state a set of geometrical conditions which are necessary that such a breaking occurs. Furthermore, we discuss the low energy N=1 effective Lagrangian and show that it satisfies non-trivial consistency conditions which can also be viewed as conditions on the geometry of the scalar manifold.