Generalised Geometry and type II Supergravity

Abstract

Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. To leading order in the fermion fields, this allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $Spin(9,1)\times Spin(1,9)$-covariant form.

5 pages, contribution to the proceedings of the XVII European Workshop on String Theory 2011, Padua, Italy, to appear in Fortschritte der Physik