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arXiv · 2510.25843

Semi-Classical Limit of Quantum Gravity on Corners

Ludovic Varrin
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Abstract

We study quantum and classical systems associated with the quantum corner symmetry group $\mathrm{QCS}=\widetilde{\mathrm{SL}}(2,\mathbb{R})\ltimes \mathrm{H}_3,$ which arises in the context of quantum gravity. We relate quantum observables -- specified by representation-theoretic data -- to their classical counterparts using generalized Perelomov coherent states and the framework of Berezin quantization. This procedure links abstract representation-theoretic input to geometric classical observables, such as area. We conclude by applying the formalism to static, spherically symmetric spacetimes admitting a horizon.

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Ludovic Varrin. 2025-10-29. Semi-Classical Limit of Quantum Gravity on Corners. https://doi.org/10.1103/kkny-kkt4

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