English

Generalised Geometry and Flux Vacua

High Energy Physics - Theory 2016-11-03 v2

Abstract

This note discusses the connection between generalised geometry and flux compactifications of string theory. Firstly, we explain in a pedestrian manner how the supersymmetry constraints of type II N=1{\mathcal{N}}=1 flux compactifications can be restated as integrability constraints on certain generalised complex structures. This reformulation uses generalised complex geometry, a mathematical framework that geometrizes the B-field. Secondly, we discuss how exceptional generalised geometry may provide a similar geometrization of the RR fields. Thirdly, we examine the connection between generalised geometry and non-geometry, and finally we present recent developments where generalised geometry is used to construct explicit examples of flux compactifications to flat space.

Keywords

Cite

@article{arxiv.1511.04595,
  title  = {Generalised Geometry and Flux Vacua},
  author = {Magdalena Larfors},
  journal= {arXiv preprint arXiv:1511.04595},
  year   = {2016}
}

Comments

12 pages, contribution to the proceedings of "The String Theory Universe" workshop in Leuven, 7-11 Sept 2015, to be published by Fortschritte der Physik; v2: references updated

R2 v1 2026-06-22T11:45:19.768Z