Twistors to twisted geometries

@article{Freidel2010TwistorsTT,
  title={Twistors to twisted geometries},
  author={Laurent Freidel and Simone Speziale},
  journal={Physical Review D},
  year={2010},
  volume={82}
}
In a previous paper we showed that the phase space of loop quantum gravity on a fixed graph can be parametrized in terms of twisted geometries, quantities describing the intrinsic and extrinsic discrete geometry of a cellular decomposition dual to the graph. Here we unravel the origin of the phase space from a geometric interpretation of twistors. 
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