ar X iv : 0 80 2 . 07 23 v 1 [ he p - th ] 5 F eb 2 00 8 Local geometry of the G 2 moduli space
نویسندگان
چکیده
We consider deformations of torsion-freeG2 structures, defined by theG2-invariant 3-form φ and compute the expansion of ∗φ to fourth order in the deformations of φ. By considering M -theory compactified on a G2 manifold, the G2 moduli space is naturally complexified, and we get a Kähler metric on it. Using the expansion of ∗φ we work out the full curvature of this metric and relate it to the Yukawa coupling.
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