New potentials from Scherk-Schwarz reductions

TL;DR

This paper explores novel four-dimensional supergravity models derived from eleven-dimensional supergravity compactified on Calabi-Yau threefolds with a Scherk-Schwarz twist, including N=1 truncations and their vacuum properties.

Contribution

It explicitly derives the scalar potential and superpotentials for these compactifications, introducing new models with potential applications in string theory and M-theory.

Findings

Derived explicit scalar potentials for the models.

Constructed N=1 supergravity truncations inspired by string orientifolds.

Identified relations to G2-structure M-theory compactifications.

Abstract

We study compactifications of eleven-dimensional supergravity on Calabi-Yau threefolds times a circle, with a duality twist along the circle a la Scherk-Schwarz. This leads to four-dimensional N=2 gauged supergravity with a semi-positive definite potential for the scalar fields, which we derive explicitly. Furthermore, inspired by the orientifold projection in string theory, we define a truncation to N=1 supergravity. We determine the D-terms, Kaehler- and superpotentials for these models and study the properties of the vacua. Finally, we point out a relation to M-theory compactifications on seven-dimensional manifolds with G2 structure.