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arXiv · 1403.7217

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

Clisthenis P. Constantinidis·Zui Oporto·Olivier Piguet
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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.

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Clisthenis P. Constantinidis, Zui Oporto, Olivier Piguet. 2014-03-27. Loop Quantization of a Model for D=1+2 (Anti)de Sitter Gravity Coupled to Topological Matter. https://doi.org/10.1088/0264-9381/32/5/055007

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