From twistors to twisted geometries

Laurent Freidel (1) , Simone Speziale (2, 3)

1 Perimeter Institute for Theoretical Physics [Waterloo]
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Laurent Freidel, Simone Speziale. From twistors to twisted geometries. Physical Review D, 2010, pp.Phys.Rev. D82 (2010) 044018. ⟨hal-00488699⟩