U(N) Gauged N=2 Supergravity and Partial Breaking of Local N=2 Supersymmetry

TL;DR

This paper analyzes a minimal U(N) gauged N=2 supergravity model with one hypermultiplet, demonstrating spontaneous partial supersymmetry breaking to N=1, and deriving the mass spectrum and effective potential in the unbroken SU(N) vacuum.

Contribution

It provides a detailed study of partial supersymmetry breaking in a U(N) gauged N=2 supergravity model with explicit mass spectrum and potential analysis.

Findings

Supersymmetry is spontaneously broken from N=2 to N=1 in the model.

Mass spectrum analogous to rigid supersymmetry is derived.

Effective potential is expressed in standard N=1 supergravity superpotential form.

Abstract

We study a minimal model of U(N) gauged N=2 supergravity with one hypermultiplet parametrizing SO(4,1)/SO(4) quaternionic manifold. Local N=2 supersymmetry is known to be spontaneously broken to N=1 in the Higgs phase of U(1)_{graviphoton} \times U(1). Several properties are obtained of this model in the vacuum of unbroken SU(N) gauge group. In particular, we derive mass spectrum analogous to the rigid counterpart and put the entire effective potential on this vacuum in the standard superpotential form of N=1 supergravity.