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Semiclassical limit of quantum gravity on corners

Ludovic Varrin*

  • *Contact author: ludovic.varrin@ncbj.gov.pl
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Phys. Rev. D 113, 126015 – Published 10 June, 2026

DOI: https://doi.org/10.1103/kkny-kkt4

Abstract

We study quantum and classical systems associated with the quantum corner symmetry group QCS=SL˜(2,R) ⋉ H3, 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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Phys. Rev. D 113, 126015– Published 10 June, 2026
  • Received 3 March 2026
  • Accepted 8 May 2026
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