Keeping matter in the loop in dS3 quantum gravity

Alejandra Castro, Ioana Coman, Jackson R. Fliss, Claire Zukowski

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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 S 3 as GN → 0. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory.

Original languageEnglish (US)
Article number120
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 2023
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).


  • Chern-Simons Theories
  • Wilson
  • de Sitter space
  • ’t Hooft and Polyakov loops


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