English

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 ϕ\phi and compute the expansion of the Hodge star of ϕ\phi to fourth order in the deformations of ϕ\phi. 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 ϕ\phi we work out the full curvature of this metric and relate it to the Yukawa coupling.

Keywords

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

R2 v1 2026-06-21T10:09:54.130Z