Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure
High Energy Physics - Theory
2009-11-07 v2 Differential Geometry
Abstract
For a given complex n-fold M we present an explicit construction of all complex (n+1)-folds which are principal holomorphic T2-fibrations over M. For physical applications we consider the case of M being a Calabi-Yau 2-fold. We show that for such M, there is a subclass of the 3-folds that we construct, which has natural families of non-Kaehler SU(3)-structures satisfying the conditions for N = 1 supersymmetry in the heterotic string theory compactified on the 3-folds. We present examples in the aforementioned subclass with M being a K3-surface and a 4-torus.
Cite
@article{arxiv.hep-th/0212307,
title = {Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure},
author = {Edward Goldstein and Sergey Prokushkin},
journal= {arXiv preprint arXiv:hep-th/0212307},
year = {2009}
}
Comments
LaTeX, 17 pages, organization of the paper was changed, typos corrected