On Spectral Triples in Quantum Gravity II
High Energy Physics - Theory
2009-04-08 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
A semifinite spectral triple for an algebra canonically associated to canonical quantum gravity is constructed. The algebra is generated by based loops in a triangulation and its barycentric subdivisions. The underlying space can be seen as a gauge fixing of the unconstrained state space of Loop Quantum Gravity. This paper is the second of two papers on the subject.
Cite
@article{arxiv.0802.1784,
title = {On Spectral Triples in Quantum Gravity II},
author = {Johannes Aastrup and Jesper M. Grimstrup and Ryszard Nest},
journal= {arXiv preprint arXiv:0802.1784},
year = {2009}
}
Comments
43 pages, 1 figure