%0 Journal Article %T From twistors to twisted geometries %A Laurent Freidel %A Simone Speziale %J Physics %D 2010 %I arXiv %R 10.1103/PhysRevD.82.084041 %X 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. %U http://arxiv.org/abs/1006.0199v1