Local geometry of the G2 moduli space

Details Local geometry of the G2 moduli space Local geometry of the G2 moduli space

2008-02-05

arxiv.org/abs/0802.0723v1

Commun.Math.Phys.287:459-488,2009

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1007/s00220-008-0595-1

We consider deformations of torsion-free G2 structures, defined by the G2-invariant 3-form $\phi$ and compute the expansion of the Hodge star of $\phi$ to fourth order in the deformations of $\phi$. 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 $\phi$ we work out the full curvature of this metric and relate it to the Yukawa coupling.

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