Twistors to twisted geometries

Laurent Freidel and Simone Speziale
Phys. Rev. D 82, 084041 – Published 25 October 2010

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.

  • Received 3 June 2010

DOI:https://doi.org/10.1103/PhysRevD.82.084041

© 2010 The American Physical Society

Authors & Affiliations

Laurent Freidel1,* and Simone Speziale2,†

  • 1Perimeter Institute for Theoretical Physics, 31 Caroline Street N, ON N2L 2Y5, Waterloo, Canada
  • 2Centre de Physique Théorique,‡ CNRS-Luminy Case 907, 13288 Marseille Cedex 09, France

  • *lfreidel@perimeterinstitute.ca
  • simone.speziale@cpt.univ-mrs.fr
  • Unité Mixte de Recherche (UMR 6207) du CNRS et des Universites Aix-Marseille I, Aix-Marseille II et du Sud Toulon-Var. Laboratoire affilié à la FRUMAM (FR 2291).

See Also

Twisted geometries: A geometric parametrization of SU(2) phase space

Laurent Freidel and Simone Speziale
Phys. Rev. D 82, 084040 (2010)

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Issue

Vol. 82, Iss. 8 — 15 October 2010

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