English

Gravitational Wilson Lines in 3D de Sitter

High Energy Physics - Theory 2020-08-26 v2 General Relativity and Quantum Cosmology

Abstract

We construct local probes in the static patch of Euclidean dS3_3 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)Rso(4)\simeq su(2)_L\times 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_3, 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)SL(2,\mathbb{C}) Chern-Simons theory.

Cite

@article{arxiv.2001.09998,
  title  = {Gravitational Wilson Lines in 3D de Sitter},
  author = {Alejandra Castro and Philippe Sabella-Garnier and Claire Zukowski},
  journal= {arXiv preprint arXiv:2001.09998},
  year   = {2020}
}

Comments

46 pages, 1 figure; v2: final version for JHEP, minor edits

R2 v1 2026-06-23T13:22:10.193Z