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

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 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
Volume2023
Issue number7
DOIs
StatePublished - Jul 2023
Externally publishedYes

Bibliographical note

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

Keywords

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

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