Pure type I supergravity and DE10

@article{Hillmann2006PureTI,
  title={Pure type I supergravity and DE10},
  author={Christian Hillmann and Axel Kleinschmidt},
  journal={General Relativity and Gravitation},
  year={2006},
  volume={38},
  pages={1861-1885}
}
We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D = 10 and a D = 1 non-linear σ-model on the Kac–Moody coset space DE10/K(DE10) if both theories are suitably truncated. To this end we make use of a decomposition of DE10 under its regular SO(9,9) subgroup. Our analysis also deals partly with the fermionic fields of the supergravity theory and we define corresponding representations of the generalised spatial Lorentz group K(DE10). 
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