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Loop Quantization of a Model for D=1+2 (Anti)de Sitter Gravity Coupled to Topological Matter

Authors :
Constantinidis, Clisthenis P.
Oporto, Zui
Piguet, Olivier
Publication Year :
2014

Abstract

We present a complete quantization of Lorentzian D=1+2 gravity with cosmological constant, coupled to a set of topological matter fields. The approach of Loop Quantum Gravity is used thanks to a partial gauge fixing leaving a residual gauge invariance under a compact semi-simple gauge group, namely Spin(4) = SU(2) x SU(2). A pair of quantum observables is constructed, which are non-trivial despite of being null at the classical level.<br />Comment: 18 pages, Latex. Two references added

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1403.7217
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/0264-9381/32/5/055007