Gravitational Wilson lines in 3D de Sitter

Alejandra Castro; Philippe Sabella-Garnier; Claire Zukowski

doi:10.1007/JHEP07(2020)202

Gravitational Wilson lines in 3D de Sitter

Alejandra Castro, Philippe Sabella-Garnier, Claire Zukowski

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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 language	English (US)
Article number	202
Journal	Journal of High Energy Physics
Volume	2020
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2020)202
State	Published - Jul 1 2020
Externally published	Yes

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).

Keywords

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

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10.1007/JHEP07(2020)202

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AU - Zukowski, Claire

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N2 - 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.

AB - 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.

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KW - Classical Theories of Gravity

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KW - ’t Hooft and Polyakov loops

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Gravitational Wilson lines in 3D de Sitter

Abstract

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