English

Mirror Symmetry in Generalized Calabi-Yau Compactifications

High Energy Physics - Theory 2014-11-18 v2 Differential Geometry

Abstract

We discuss mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes. Starting from type IIB compactified on Calabi-Yau threefolds with NS three-form flux we show that the mirror type IIA theory arises from a purely geometrical compactification on a different class of six-manifolds. These mirror manifolds have SU(3) structure and are termed half-flat; they are neither complex nor Ricci-flat and their holonomy group is no longer SU(3). We show that type IIA appropriately compactified on such manifolds gives the correct mirror-symmetric low-energy effective action.

Keywords

Cite

@article{arxiv.hep-th/0211102,
  title  = {Mirror Symmetry in Generalized Calabi-Yau Compactifications},
  author = {Sebastien Gurrieri and Jan Louis and Andrei Micu and Daniel Waldram},
  journal= {arXiv preprint arXiv:hep-th/0211102},
  year   = {2014}
}

Comments

54 pages latex, references added, typos corrected