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From twistors to twisted geometries (1006.0199v1)
Published 1 Jun 2010 in gr-qc and hep-th
Abstract: 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.