Twistors to twisted geometries
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.
 Publication:

Physical Review D
 Pub Date:
 October 2010
 DOI:
 10.1103/PhysRevD.82.084041
 arXiv:
 arXiv:1006.0199
 Bibcode:
 2010PhRvD..82h4041F
 Keywords:

 04.60.Pp;
 04.60.Nc;
 Loop quantum gravity quantum geometry spin foams;
 Lattice and discrete methods;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 9 pages