Holography for bulk states in 3D quantum gravity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F23%3A00574989" target="_blank" >RIV/68378271:_____/23:00574989 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0347588" target="_blank" >https://hdl.handle.net/11104/0347588</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21468/SciPostPhys.15.2.054" target="_blank" >10.21468/SciPostPhys.15.2.054</a>

Result language
angličtina
Original language name
Holography for bulk states in 3D quantum gravity
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics

Project
<a href="/en/project/GX20-25775X" target="_blank" >GX20-25775X: Applied String Field Theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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