We show that generalised geometry gives a unified description of bosonic eleven-
dimensional supergravity restricted to a d-dimensional manifold for all d≤ 7. The theory is …

Generalised geometry studies structures on a d-dimensional manifold with a metric and 2-
form gauge field on which there is a natural action of the group SO (d, d). This is generalised …

We review the remarkable progress that has been made the last 15 years towards the
classification of supersymmetric solutions with emphasis on the description of the bilinears …

A bstract We reformulate eleven-dimensional supergravity, including fermions, in terms of
generalised geometry, for spacetimes that are warped products of Minkowski space with a d …

We show that the E11 representation that contains the space–time translation generators
also contains the rank two and five totally anti-symmetric representations of A10. By studying …

We propose a new method to solve the Killing spinor equations of 11-dimensional
supergravity based on a description of spinors in terms of forms and on the Spin (1, 10) …

We define intrinsic torsion in generalised geometry and use it to introduce a new notion of
generalised special holonomy. We then consider generic warped supersymmetric flux …

These notes are based on lectures given at the Clay School on Geometry and String Theory,
Isaac Newton Institute, Cambridge, 25 March-19 April 2002. They attempt to provide an …

We study the hidden symmetries of the fermionic sector of D= 11 supergravity, and the rôle
of K (E10) as a generalised 'R-symmetry'. We find a consistent model of a massless spinning …

We describe the construction of a Lie superalgebra associated with an arbitrary
supersymmetric M-theory background, and discuss some examples. We prove that for …