Gravitational Wilson lines in 3D de Sitter

Alejandra Castro, Philippe Sabella-Garnier, Claire Zukowski

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11 Scopus citations


We construct local probes in the static patch of Euclidean dS3 gravity. These probes are Wilson line operators, designed by exploiting the Chern-Simons formulation of 3D gravity. Our prescription uses non-unitary representations of so (4) ≃ su (2)L× su(2)R, and we evaluate the Wilson line for states satisfying a singlet condition. We discuss how to reproduce the Green’s functions of massive scalar fields in dS3, the construction of bulk fields, and the quasinormal mode spectrum. We also discuss the interpretation of our construction in Lorentzian signature in the inflationary patch, via SL(2, ℂ) Chern-Simons theory.

Original languageEnglish (US)
Article number202
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 1 2020
Externally publishedYes

Bibliographical note

Funding Information:
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

Publisher Copyright:
© 2020, The Author(s).


  • Chern-Simons Theories
  • Classical Theories of Gravity
  • Wilson
  • ’t Hooft and Polyakov loops


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