MSc dissertation Generalised geometry and supergravity backgrounds

We introduce the topcic of generalised geometry as an extension of differential geomentry on the bundle TM ⊕T ∗M . An algebraic structure is built that leads to the formation of the generalised tangent bundle. We place a generalised Riemannian metric on this space and show that it is compatible with the metric for a generalised Kähler structure. We investigate the nature of supersymmetric backgrounds in type II supergravity by discussing the usual and generalised Calabi-Yau structure. From this we show how the formalism of generalised geometry may be used to describe a manifold with such a structure. It’s unique appeal to physicists lies in its unification of the fields in NS-NS sector of supergravity.