On Type IIB moduli stabilization and N = 4, 8 supergravities

TL;DR

This paper investigates Type IIB string compactifications with various fluxes, exploring how they relate to gauged supergravities and identifying conditions for stable vacua, including AdS and Minkowski solutions.

Contribution

It provides a comprehensive analysis of flux backgrounds in Type IIB compactifications and their embedding into gauged N=4, 8 supergravities, highlighting stability conditions.

Findings

Large flux parameter regions lack complete moduli stabilization

Identified conditions for AdS and Minkowski vacua

Derived algebraic identities for supergravity gaugings

Abstract

We analyze D = 4 compactifications of Type IIB theory with generic, geometric and non-geometric, dual fluxes turned on. In particular, we study N = 1 toroidal orbifold compactifications that admit an embedding of the untwisted sector into gauged N = 4, 8 supergravities. Truncations, spontaneous breaking of supersymmetry and the inclusion of sources are discussed. The algebraic identities satisfied by the supergravity gaugings are used to implement the full set of consistency constraints on the background fluxes. This allows to perform a generic study of N = 1 vacua and identify large regions of the parameter space that do not admit complete moduli stabilization. Illustrative examples of AdS and Minkowski vacua are presented.