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arXiv · 2001.09998

Gravitational Wilson Lines in 3D de Sitter

Alejandra Castro·Philippe Sabella-Garnier·Claire Zukowski
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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.

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Alejandra Castro, Philippe Sabella-Garnier, Claire Zukowski. 2020-01-27. Gravitational Wilson Lines in 3D de Sitter. https://doi.org/10.1007/jhep07(2020)202

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