TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.2.054
TI  - Holography for bulk states in 3D quantum gravity
PY  - 2023/08/08
UR  - https://www.scipost.org/SciPostPhys.15.2.054
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 2
SP  - 054
A1  - Raeymaekers, Joris
AU  - Vos, Gideon
AB  - In this work we discuss the holographic description of states in the Hilbert space 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 spinning particles. We develop a formulation where the equations for the backreacted metric reduce to two decoupled Liouville equations with delta-function sources under pseudosphere boundary conditions. We show that both the semiclassical wavefunction and the gravity solution are determined by a universal object, namely a classical Virasoro vacuum block on the sphere. In doing so we derive a version of Polyakov's conjecture, as well as an existence criterion, for classical Liouville theory on the pseudosphere. We also discuss how some of these results are modified when considering closed universes with compact spatial slices.
ER  -

@Article{10.21468/SciPostPhys.15.2.054,
	title={{Holography for bulk states in 3D quantum gravity}},
	author={Joris Raeymaekers and Gideon Vos},
	journal={SciPost Phys.},
	volume={15},
	pages={054},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.2.054},
	url={https://scipost.org/10.21468/SciPostPhys.15.2.054},
}