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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Area bounds and gauge fixing: alternative canonical variables for loop gravity

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

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

  2. Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW

    gr-qc 2025-07 conditional novelty 6.0 of 10

    In the U(N)-symmetric sector of the two-vertex loop-quantum-gravity model, the face frames of the twisted-geometry polyhedra evolve by a common scaling plus rotation, so all planar angles stay constant and the polyhed...

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