From twistors to twisted geometries

Laurent Freidel; Simone Speziale

From twistors to twisted geometries

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arxiv 1006.0199 v1 pith:BN4D46EB submitted 2010-06-01 gr-qc hep-th

Laurent Freidel , Simone Speziale This is my paper

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keywords geometriesgraphphasespacetwistedtwistorscellulardecomposition

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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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New canonical variables for loop gravity give analytical area bounds proving a non-zero lower limit in two-vertex models and ease gauge fixing.

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