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A convergent genus expansion for the plateau

https://doi.org/10.1007/JHEP09(2024)033

Saad, Phil; Stanford, Douglas; Yang, Zhenbin; Yao, Shunyu (September 2024, Journal of High Energy Physics)

A<sc>bstract</sc> 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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Comments on wormholes and factorization

Saad, Phil; Shenker, Stephen H.; Yao, Shunyu (July 2021, ArXivorg)
null (Ed.)
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Wormholes without averaging

Saad, Phil; Shenker, Stephen H.; Stanford, Douglas; Yao, Shunyu (March 2021, ArXivorg)
null (Ed.)
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JT gravity as a matrix integral

Saad, Phil; Shenker, Stephen H.; Stanford, Douglas (March 2019, ArXiv.org)

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A semiclassical ramp in SYK and in gravity

Saad, Phil; Shenker, Stephen H.; Stanford, Douglas (June 2018, arXiv.org)

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