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Non-perturbative de Sitter Jackiw-Teitelboim gravity

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arxiv 2401.01925 v4 pith:EY3IGVIH submitted 2024-01-03 hep-th gr-qc

Jordan Cotler , Kristan Jensen This is my paper
classification hep-thgr-qc
keywords gravitysittercouplingexpansiongenusimaginaryjackiw-teitelboimnon-perturbative
verification ladder T0 review T1 audit T2 compute T3 formal
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With non-perturbative de Sitter gravity and holography in mind, we deduce the genus expansion of de Sitter Jackiw-Teitelboim (dS JT) gravity. We find that this simple model of quantum cosmology has an effective string coupling which is pure imaginary. This imaginary coupling gives rise to alternating signs in the genus expansion of the dS JT S-matrix, which as a result appears to be Borel-Le Roy resummable. Furthermore dS JT gravity is formally an analytic continuation of AdS JT gravity, and behaves like a matrix integral with a negative number of degrees of freedom.

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  1. Norm of the no-boundary state

    hep-th 2025-06 conditional novelty 7.0 of 10

    At one loop and late time, the norm of the Hartle-Hawking no-boundary state vanishes as e^{S0}/(vol(SO(d,1)) S0^{d(d+1)/4}), and adding an observer stabilizes it to a large positive value.

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