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2021

Nonperturbative effects and resurgence in JT gravity at finite cutoff

Griguolo, Luca, Panerai, Rodolfo, Papalini, Jacopo et al.

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We investigate the nonperturbative structure of Jackiw-Teitelboim gravity at finite cutoff, as given by its proposed formulation in terms of a $T\bar{T}$-deformed Schwarzian quantum mechanics.

Our starting point is a careful computation of the disk partition function to all orders in the perturbative expansion in the cutoff parameter.
We show that the perturbative series is asymptotic and that it admits a precise completion exploiting the analytical properties of its Borel transform, as prescribed by resurgence theory.
The final result is then naturally interpreted in terms of the nonperturbative branch of the $T\bar{T}$-deformed spectrum.

Nonperturbative effects and resurgence in JT gravity at finite cutoff · Around

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