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Spinors and Twistors in Loop Gravity and Spin Foams

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arxiv 1201.2120 v2 pith:JLO263KZ submitted 2012-01-10 gr-qc hep-th

Maite Dupuis , Simone Speziale , Johannes Tambornino This is my paper
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keywords foamsgravityloopspintwistorsalgebraapplicationsback
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Spinorial tools have recently come back to fashion in loop gravity and spin foams. They provide an elegant tool relating the standard holonomy-flux algebra to the twisted geometry picture of the classical phase space on a fixed graph, and to twistors. In these lectures we provide a brief and technical introduction to the formalism and some of its applications.

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  1. 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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