Mon, 09 Jun 2008
12:00 -
13:00
L3
`Exceptional' generalised geometry and superpotentials
Dan Waldram
(Imperial College)
Abstract
Abstract: We discuss an extension of Hitchin's generalised geometry, based on the
exceptional groups, that provides a unified geometrical description of
supersymmetric flux backgrounds in eleven-dimensional supergravity. We focus
on N=1 seven-dimensional compactifications. The background is characterised
by an element phi, the analogue of the generalised complex structure, that
lies in a particular orbit of the 912 representation of E7. As an
application we show that the four-dimensional effective superpotential takes
a universal form, that is, a homogeneous E7-invariant functional of phi.