Non-perturbative 3D quantum gravity: quantum boundary states and exact partition function

Autor: Aldo Riello, Christophe Goeller, Etera R. Livine
Přispěvatelé: Laboratoire de Physique de l'ENS Lyon (Phys-ENS), École normale supérieure - Lyon (ENS Lyon)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, École normale supérieure - Lyon (ENS Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
High Energy Physics - Theory
Physics and Astronomy (miscellaneous)
Boundary theory
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
Holography
Boundary (topology)
01 natural sciences
General Relativity and Quantum Cosmology
Quantization (physics)
010303 astronomy & astrophysics
Quantum
ComputingMilieux_MISCELLANEOUS
Mathematical physics
lattice
Physics
Topological quantum field theory
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
Quasilocal holography
Ponzano–Regge model
spin: network
BMS group
regularization
[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
Coherent boundary state
partition function
FOS: Physical sciences
torus: twist
General Relativity and Quantum Cosmology (gr-qc)
nonperturbative
integrability
field theory
topological
solids
[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]
Quantum state
0103 physical sciences
anti-de Sitter
surface
structure
field theory: conformal
010308 nuclear & particles physics
3D quantum gravity
Partition function (mathematics)
duality: holography
Spinfoam models
coherence
Automatic Keywords
High Energy Physics - Theory (hep-th)
gravitation
quantum gravity
Quantum gravity
Spin network
quantization
Zdroj: General Relativity and Gravitation
General Relativity and Gravitation, Springer Verlag, 2020, 52 (3), ⟨10.1007/s10714-020-02673-3⟩
Gen.Rel.Grav.
Gen.Rel.Grav., 2020, 52 (3), pp.24. ⟨10.1007/s10714-020-02673-3⟩
ISSN: 0001-7701
1572-9532
DOI: 10.1007/s10714-020-02673-3⟩
Popis: We push forward the investigation of holographic dualities in 3D quantum gravity formulated as a topological quantum field theory, studying the correspondence between boundary and bulk structures. Working with the Ponzano-Regge topological state-sum model defining an exact discretization of 3d quantum gravity, we analyze how the partition function for a solid twisted torus depends on the boundary quantum state. This configuration is relevant to the AdS${}_{3}$/CFT${}_{2}$ correspondence. We introduce boundary spin network states with coherent superposition of spins on a square lattice on the boundary surface. This allows for the first exact analytical calculation of Ponzano-Regge amplitudes with extended 2D boundary (beyond the single tetrahedron). We get a regularized finite truncation of the BMS character formula obtained from the one-loop perturbative quantization of 3D gravity. This hints towards the existence of an underlying symmetry and the integrability of the theory for finite boundary at the quantum level for coherent boundary spin network states.
Comment: 44 pages
Databáze: OpenAIRE
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