English

New potentials from Scherk-Schwarz reductions

High Energy Physics - Theory 2011-06-07 v2

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.

Keywords

Cite

@article{arxiv.1008.4286,
  title  = {New potentials from Scherk-Schwarz reductions},
  author = {Hugo Looyestijn and Erik Plauschinn and Stefan Vandoren},
  journal= {arXiv preprint arXiv:1008.4286},
  year   = {2011}
}

Comments

42 pages; v2: typo corrected

R2 v1 2026-06-21T16:05:02.104Z