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Spinning up the spool: Massive spinning fields in 3d quantum gravity
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abstract
We show how to incorporate massive spinning fields into the Euclidean path integral of three-dimensional quantum gravity via its Chern-Simons formulation. The coupling of the spinning fields to gravity is captured by a Wilson spool, a collection of Wilson loops winding around closed paths of the geometry, and generalizes the proposal of [1,2]. We present a robust derivation of the Wilson spool by providing a new group-theoretic perspective of the quasinormal mode method for one-loop determinants. We test our proposal on Euclidean BTZ and $S^3$ backgrounds. We also evaluate explicitly the quantum corrections to the path integral on $S^3$, and report on how $G_N$ and the mass are renormalized to leading order in perturbation theory.
Forward citations
Cited by 3 Pith papers
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A spool for every quotient: One-loop partition functions in AdS$_3$ gravity
One-loop partition functions of massive spinning fields on any smooth cusp-free hyperbolic 3-manifold are expressed as Wilson spools, sums over free loops of holonomy traces in lowest-weight sl(2,R) representations.
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Particles, Forces and the Early Universe
The paper asserts a unified scenario of preon supersymmetry, no-boundary cosmology, and Chern-Simons gravity without providing new derivations or quantitative predictions.
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Preface to Fields, Gravity, Strings and Beyond: In Memory of Stanley Deser
An editorial preface, not a research paper: it tributes Stanley Deser and catalogues the special issue's contributed articles in four thematic areas.
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