On spectral triples in quantum gravity II | Zendy

Johannes Aastrup | Zendy; Jesper M. Grimstrup | Zendy; Ryszard Nest | Zendy

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On spectral triples in quantum gravity II

Author(s) -

Johannes Aastrup,

Jesper M. Grimstrup,

Ryszard Nest

Publication year - 2009

Publication title -

journal of noncommutative geometry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.037

H-Index - 26

eISSN - 1661-6960

pISSN - 1661-6952

DOI - 10.4171/jncg/30

Subject(s) - mathematics , canonical quantum gravity , spectral triple , pure mathematics , quantum gravity , loop quantum gravity , quantum , triangulation , hopf algebra , gauge (firearms) , algebra over a field , geometry , physics , quantum mechanics , noncommutative geometry , archaeology , noncommutative quantum field theory , history

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. email: johannes.aastrup@uni-muenster.de email: grimstrup@nbi.dk email: rnest@math.ku.dk

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