Ludovic Varrin
We study quantum and classical systems associated with the quantum corner symmetry group QCS = SL ˜ ( 2 , R ) ⋉ 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.