The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities

TL;DR

This paper derives the low-energy effective action for a class of N=2 gauged supergravities with partial supersymmetry breaking, detailing how N=1 couplings emerge from N=2 data and confirming their supergravity constraints.

Contribution

It provides a systematic derivation of the N=1 effective action from N=2 supergravities with partial supersymmetry breaking, including explicit formulas for couplings.

Findings

Effective action satisfies N=1 supergravity constraints

Superpotential and gauge functions are holomorphic

Application to type II compactifications

Abstract

We consider the class of four-dimensional N=2 gauged supergravities whose maximally symmetric ground states leave only one of the two supersymmetries intact. For these theories we derive the low-energy effective action below the scale of partial supersymmetry breaking and compute the N=1 couplings in terms of the N=2 'input data'. We show that this effective action satisfies the constraints of N=1 supergravity in that its sigma-model metric is Kahler, while the superpotential and the gauge kinetic functions are holomorphic. As an example we discuss the N=1 effective supergravity of type II compactifications.