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Gravitational Wilson Lines in 3D de Sitter

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arxiv 2001.09998 v2 pith:LQ55GLRX submitted 2020-01-27 hep-th gr-qc

Alejandra Castro , Philippe Sabella-Garnier , Claire Zukowski This is my paper · ORCID
classification hep-thgr-qc
keywords wilsonchern-simonsconstructiondiscussfieldsgravitylinepatch
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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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  1. Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams

    hep-th 2024-12 conditional novelty 6.0 of 10

    Wilson line networks in AdS2 are reconstructed from boundary conformal blocks, and 3-point scalar Witten diagrams decompose into sums of such networks.

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