Scherk-Schwarz Reduction of D=5 Special and Quaternionic Geometry

TL;DR

This paper interprets four-dimensional N=2 gauged supergravity as a Scherk-Schwarz reduction of five-dimensional N=2 supergravity, emphasizing geometric aspects like scalar potential and mass generation mechanisms.

Contribution

It provides a geometric interpretation of D=4 N=2 gauged supergravity via Scherk-Schwarz reduction from D=5, detailing the scalar potential, masses, and Higgs mechanisms.

Findings

Scalar potential expressed in terms of gauging of a flat group

Masses derived from geometric data of reduction

Discussion of Higgs and super-Higgs mechanisms

Abstract

We give the N=2 gauged supergravity interpretation of a generic D=4, N=2 theory as it comes from generalized Scherk-Schwarz reduction of D=5, N=2 (ungauged) supergravity. We focus on the geometric aspects of the D=4 data such as the general form of the scalar potential and masses in terms of the gauging of a ``flat group''. Higgs and super-Higgs mechanism are discussed in some detail.