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Observables in 3-dimensional quantum gravity and topological invariants

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arxiv gr-qc/0401093 v1 pith:CLJJEDYO submitted 2004-01-21 gr-qc hep-th

classification gr-qchep-th
keywords observablesdimensionalexpectationgravityjustquantumtopologicalvalues
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we report some results on the expectation values of a set of observables introduced for 3-dimensional Riemannian quantum gravity with positive cosmological constant, that is, observables in the Turaev-Viro model. Instead of giving a formal description of the observables, we just formulate the paper by examples. This means that we just show how an idea works with particular cases and give a way to compute 'expectation values' in general by a topological procedure.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.

  2. Triangulating quantum gravity in AdS$_3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    The fixed-angle gravitational path integral in AdS3 equals a Conformal Turaev-Viro partition function, the fixed-length path integral equals a Virasoro TQFT amplitude squared, and the semiclassical geometries are buil...

  3. Conformal Turaev-Viro Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    Conformal Turaev-Viro theory is a triangulation-based dual to Virasoro TQFT whose partition function equals the modular S-transform of |Z_Vir|^2.

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