Local geometry of the G2 moduli space
High Energy Physics - Theory
2009-03-20 v1
Abstract
We consider deformations of torsion-free G2 structures, defined by the G2-invariant 3-form and compute the expansion of the Hodge star of to fourth order in the deformations of . By considering M-theory compactified on a G2 manifold, the G2 moduli space is naturally complexified, and we get a Kahler metric on it. Using the expansion of the Hodge star of we work out the full curvature of this metric and relate it to the Yukawa coupling.
Cite
@article{arxiv.0802.0723,
title = {Local geometry of the G2 moduli space},
author = {Sergey Grigorian and Shing-Tung Yau},
journal= {arXiv preprint arXiv:0802.0723},
year = {2009}
}
Comments
27 pages