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In this work we discuss the holographic description of states in the Hilbertspace of (2+1)-dimensional quantum gravity, living on a time slice in the bulk.We focus on pure gravity coupled to pointlike sources for heavy spinningparticles. We develop a formulation where the equations for the backreactedmetric reduce to two decoupled Liouville equations with delta-function sourcesunder pseudosphere boundary conditions. We show that both the semiclassicalwavefunction and the gravity solution are determined by a universal object,namely a classical Virasoro vacuum block on the sphere. In doing so we derive aversion of Polyakov's conjecture, as well as an existence criterion, forclassical Liouville theory on the pseudosphere. We also discuss how some ofthese results are modified when considering closed universes with compactspatial slices.

Holography for bulk states in 3D quantum gravity