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:
- 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
- E-Print:
- 9 pages