Supergravity as Generalised Geometry I: Type II Theories

André Coimbra, Charles Strickland-Constable, Daniel Waldram

Research output: Contribution to journalArticlepeer-review

172 Citations (Scopus)


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.
Original languageEnglish
Article number91
JournalJournal of High Energy Physics (JHEP)
Issue number11
Publication statusPublished - 18 Nov 2011


  • hep-th
  • math.DG


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