N = 4 gauged supergravity and a IIBorientifold with fluxes

S Ferrara,R D'Auria,S Vaulà

doi:10.1088/1367-2630/4/1/371

Abstract

We analyse the properties of a spontaneously broken D = 4, N = 4supergravity without cosmological constant, obtained bygauging translational isometries of its classical scalar manifold.This theory offers a suitable low energy description of thesuper-Higgs phases of certain type-IIB orientifoldcompactifications with 3-form fluxes turned on.We study its N = 3, 2, 1, 0 phases and their classical modulispaces and we show that this theory is an example of no-scaleextended supergravity.

Highlights

Broken supergravities have been widely investigated over the last 25 years, as the supersymmetric analogue of the Higgs phase of spontaneously broken gauge theories [1]–[7]
A appealing class of spontaneously broken theories are those which allow a Minkowski background, because in this case the particle spectrum is classified in terms of Poincare supersymmetry, and the vacuum energy vanishes in this background
The latter are responsible to the positive potential, which, vanishes when extremized, reflecting the fact the those degrees of freedom do not participate to the supersymmetry breaking

Summary

Introduction

Broken supergravities have been widely investigated over the last 25 years, as the supersymmetric analogue of the Higgs phase of spontaneously broken gauge theories [1]–[7]. Broken supergravities, by using dual versions of standard extended supergravities, where again translational isometries of the scalar manifold of the ungauged theory are gauged, were studied in reference [35] as a N > 2 generalization [36] of the original model which allowed the N = 2 −→ N = 1 hierarchical breaking of supersymmetry. The natural question arises which low energy supergravity corresponds to their description and how the Higgs and super–Higgs phases are incorporated in the low energy supergravity theory It was shown in a recent investigation [53], extending previous analysis [15],[35], [36], that the main guide to study new forms of N–extended gauged supergravities, is to look for inequivalent maximal lower triangular subgroups of the full duality algebra (the classical symmetries of a four dimensional N–extended supergravity) inside the symplectic algebra of electric–magnetic duality transformations [54]. These results agree, apart from normalizations, with reference [35]

The scalar Potential

Mass Spectrum of the Gravitini and Vector Fields

R2 IS Iτ

Conclusions