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Revisiting the second order formalism of JT gravity

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arxiv 2310.16081 v1 pith:BW4YK4MG submitted 2023-10-24 hep-th

classification hep-th
keywords gravityconicaldefectsformalismgeodesicsintegralmatterpath
verification ladder T0 review T1 audit T2 compute T3 formal
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We revisit the gravity path integral formalism of JT gravity. We explain how to gauge fix the path integral in the presence of asymptotic boundaries and conical defects, and resolve an ambiguity regarding the dilaton gravity operator that creates a conical defect. Along the way we study JT gravity coupled to matter on surfaces with defects of special opening angles, obtaining expressions for partition and two-point functions of matter fields. The two point function involves a summation over all geodesics on the surface, including self-intersecting geodesics, which we formally manage to include.

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Cited by 3 Pith papers

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    hep-th 2024-12 conditional novelty 7.0 of 10

    The all-genus JT gravity path integral at beta ~ e^{2S0/3} is reproduced at leading order by a disk path integral with a cubic, nonlocal dilaton interaction.

  3. Magic and Wormholes in the Sachdev-Ye-Kitaev Model

    hep-th 2026-02 conditional novelty 6.0 of 10

    In the large-N SYK model, thermal Majorana-string expectation values are Gaussian random variables for q≥4 (computed via replica path integrals) and non-Gaussian for q=2; the chaotic variance is matched by a heavy-par...

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