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A convergent genus expansion for the plateau

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arxiv 2210.11565 v1 pith:ICJZMNKD submitted 2022-10-20 hep-th nlin.CDquant-ph

classification hep-thnlin.CDquant-ph
keywords genusintegralencountersexpansionformulalargemodulinonzero
verification ladder T0 review T1 audit T2 compute T3 formal
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We conjecture a formula for the spectral form factor of a double-scaled matrix integral in the limit of large time, large density of states, and fixed temperature. The formula has a genus expansion with a nonzero radius of convergence. To understand the origin of this series, we compare to the semiclassical theory of "encounters" in periodic orbits. In Jackiw-Teitelboim (JT) gravity, encounters correspond to portions of the moduli space integral that mutually cancel (in the orientable case) but individually grow at low energies. At genus one we show how the full moduli space integral resolves the low energy region and gives a finite nonzero answer.

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Cited by 2 Pith papers

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  1. Triangulating quantum gravity in AdS$_3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    The fixed-angle gravitational path integral in AdS3 equals a Conformal Turaev-Viro partition function, the fixed-length path integral equals a Virasoro TQFT amplitude squared, and the semiclassical geometries are buil...

  2. Non-conformal Line Defect (Shell Operator) in AdS$_3$/CFT$_2$: Spinning and Higher Point Correlators

    hep-th 2025-06 conditional novelty 6.0 of 10

    Spinning and higher-point thin-shell operator correlators in AdS3/CFT2 are shown to match across ETH analysis, the vacuum Virasoro block, and gravitational on-shell actions, with order-dependent structure for multiple...

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