Holography for bulk states in 3D quantum gravity

0574989 - FZÚ 2024 RIV NL eng J - Článek v odborném periodiku
Raeymaekers, Joris - Vos, Gideon
Holography for bulk states in 3D quantum gravity.
SciPost Physics. Roč. 15, č. 2 (2023), č. článku 054. ISSN 2542-4653. E-ISSN 2542-4653
Grant CEP: GA ČR(CZ) GX20-25775X
Institucionální podpora: RVO:68378271
Klíčová slova: quantum gravity * AdS/CFT correspondence
Obor OECD: Particles and field physics
Impakt faktor: 5.5, rok: 2022
Způsob publikování: Open access

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.
Trvalý link: https://hdl.handle.net/11104/0347588