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 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 S3 as GN → 0. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory.
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02 September 2024
An Erratum to this paper has been published: https://doi.org/10.1007/JHEP09(2024)004
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Acknowledgments
It is a pleasure to thank Dionysios Anninos, Tarek Anous, Frederik Denef, Damián Galante, Sean Hartnoll, Kurt Hinterbichler, Austin Joyce, and Marcos Mariño for useful discussions. The work of AC and JRF has been partially supported by STFC consolidated grant ST/T000694/1. The work of JRF has been also partially supported by the ERC starting grant GenGeoHoloIC and by Simons Foundation Award number 620869. IC has been partially supported by the ERC starting grant H2020 ERC StG No.640159, and CZ has been partially supported by the ERC Consolidator Grant QUANTIVIOL and a UM Duluth Higholt Professorship, and also acknowledges a Heising-Simons Fellowship as part of the “Observational Signatures of Quantum Gravity” collaboration grant 2021-2818. This work is supported by the Delta ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW).
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Castro, A., Coman, I., Fliss, J.R. et al. Keeping matter in the loop in dS3 quantum gravity. J. High Energ. Phys. 2023, 120 (2023). https://doi.org/10.1007/JHEP07(2023)120
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DOI: https://doi.org/10.1007/JHEP07(2023)120