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Keeping matter in the loop in dS$_3$ quantum gravity

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arxiv 2302.12281 v3 pith:7GLMCOTW submitted 2023-02-23 hep-th

Alejandra Castro , Ioana Coman , Jackson R. Fliss , Claire Zukowski This is my paper
classification hep-th
keywords gravityquantumspoolchern-simonseuclideanmattersittertheory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding around Euclidean de Sitter space. We coin this object a Wilson spool. To construct the spool, we build novel representations of $\mathfrak{su}(2)$. To evaluate the spool, we adapt and exploit several known exact results in Chern-Simons theory. Our proposal correctly reproduces the one-loop determinant of a free massive scalar field on $S^3$ as $G_N\to 0$. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory.

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Cited by 4 Pith papers

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

  1. JT gravity on the worldline

    hep-th 2026-07 conditional novelty 7.0 of 10

    Coupling a worldline observer to JT gravity replaces its evolution operator by an exactly computed average over fluctuating Euclidean times; the fluctuations are small in the disk but large on the double trumpet.

  2. A spool for every quotient: One-loop partition functions in AdS$_3$ gravity

    hep-th 2025-07 conditional novelty 7.0 of 10

    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.

  3. A Holographic Map from AdS$_3$ to CFT$_2$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Semiclassical pure AdS3 gravity states, labelled by fixed-area geodesic networks, are mapped to CFT2 primary states whose wavefunctions are networks of OPE coefficients.

  4. Particles, Forces and the Early Universe

    hep-ph 2025-07 reject novelty 4.0 of 10

    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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