On Spectral Triples in Quantum Gravity II
classification
✦ hep-th
gr-qcmath-phmath.MP
keywords
gravityquantumalgebraspacespectralassociatedbarycentriccanonical
read the original 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.
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