The minimal N=4 no-scale model from generalized dimensional reduction

TL;DR

This paper derives a minimal N=4 no-scale supergravity model in four dimensions via generalized dimensional reduction from five dimensions, highlighting its unique features and connections to broader supergravity frameworks.

Contribution

It explicitly constructs the minimal N=4 no-scale model from five-dimensional supergravity and explores its relation to known gaugings and higher-dimensional extensions.

Findings

Constructed the minimal N=4 no-scale model in 4D

Connected the model to standard N=4 gaugings and orbifold projections

Discussed potential for further generalizations

Abstract

We consider the generalized dimensional reduction of pure ungauged N=4, D=5 supergravity, where supersymmetry is spontaneously broken to N=2 or N=0 with identically vanishing scalar potential. We explicitly construct the resulting gauged D=4 theory coupled to a single vector multiplet, which provides the minimal N=4 realization of a no-scale model. We discuss its relation with the standard classification of N=4 gaugings, extensions to non-compact twists and to higher dimensions, the N=2 theories obtained via consistent Z_2 orbifold projections and prospects for further generalizations.