# University of Hertfordshire

## Supergravity as Generalised Geometry I: Type II Theories

Research output: Contribution to journalArticlepeer-review

Original language English 91 JHEP 2011 11 https://doi.org/10.1007/JHEP11(2011)091 Published - 18 Nov 2011

### Abstract

We reformulate ten-dimensional type II supergravity 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. Using the notion of generalised connection and torsion, we introduce the analogue of the Levi-Civita connection, and derive the corresponding tensorial measures of generalised curvature. We show how, to leading order in the fermion fields, these structures allow one to rewrite the action, equations of motion and supersymmetry variations in a simple, manifestly $\mathit{Spin}(9,1)\times\mathit{Spin}(1,9)$-covariant form.