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arxiv: gr-qc/0401093 · v1 · submitted 2004-01-21 · 🌀 gr-qc · hep-th

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Observables in 3-dimensional quantum gravity and topological invariants

J.Manuel Garcia-Islas
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classification 🌀 gr-qc hep-th
keywords observablesdimensionalexpectationgravityjustquantumtopologicalvalues
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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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  1. The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity

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    Open Virasoro TQFT computes 3d gravity path integrals on compact regions using threshold-dependent boundary conditions and yields an open-closed duality relating Conformal Turaev-Viro theory to the diagonal sector of ...