Supergravity as generalised geometry I: type II theories

@article{Coimbra2011SupergravityAG,
  title={Supergravity as generalised geometry I: type II theories},
  author={Andr'e Coimbra and C. Strickland-constable and Daniel Waldram},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-35}
}
A bstractWe reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an O(9, 1) × O(1, 9) ⊂ O(10, 10) × $ {\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… Expand
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