# Algebraic quantum gravity (AQG): I. Conceptual setup

@article{Giesel2007AlgebraicQG, title={Algebraic quantum gravity (AQG): I. Conceptual setup}, author={Kristina Giesel and Thomas Thiemann}, journal={Classical and Quantum Gravity}, year={2007}, volume={24}, pages={2465 - 2497} }

We introduce a new top down approach to canonical quantum gravity, called algebraic quantum gravity (AQG). The quantum kinematics of AQG is determined by an abstract *-algebra generated by a countable set of elementary operators labelled by an algebraic graph. The quantum dynamics of AQG is governed by a single master constraint operator. While AQG is inspired by loop quantum gravity (LQG), it differs drastically from it because in AQG there is fundamentally no topology or differential…

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In the previous paper (Giesel and Thiemann 2006 Conceptual setup Preprint gr-qc/0607099) a new combinatorial and thus purely algebraical approach to quantum gravity, called algebraic quantum gravity…

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In the two previous papers of this series we defined a new combinatorial approach to quantum gravity, algebraic quantum gravity (AQG). We showed that AQG reproduces the correct infinitesimal dynamics…

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