Seminar series
Date
Mon, 10 Mar 2008
Time
11:00 -
12:00
Location
L3
Speaker
Sergey Grigorian
Organisation
Cambridge
Abstract: We consider deformations of torsion-free $ G_2 $ structures, defined by the
$ G_2 $-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 $ G_2 $ manifold, the $ G_2 $ 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.