Gravitational Wilson Lines in 3D de Sitter

Abstract

We construct local probes in the static patch of Euclidean dS${}_3$ gravity. These probes are Wilson line operators, designed by exploiting the Chern-Simons formulation of 3D gravity. Our prescription uses non-unitary representations of $so(4)\simeq su(2{)}_L\times su(2{)}_R$, 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 dS${}_3$, 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 $SL(2,\mathbb{C})$ Chern-Simons theory.

arXiv comment46 pages, 1 figure; v2: final version for JHEP, minor edits

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Cited by in corpus (8)

• Solving 3d Gravity with Virasoro TQFT
• Holography in de Sitter Space via Chern-Simons Gauge Theory
• CFT duals of three-dimensional de Sitter gravity
• Three-dimensional de Sitter horizon thermodynamics
• Complex geodesics in de Sitter space
• Keeping matter in the loop in dS${}_3$ quantum gravity
• More on Wilson toroidal networks and torus blocks
• Massive fields and Wilson spools in JT gravity