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Two remarkable facts about JT two-dimensional dilaton-gravity have beenrecently uncovered: this theory is dual to an ensemble of quantum mechanicaltheories; and such ensemble is described by a random matrix model which itselfmay be regarded as a special (large matter-central-charge) limit of minimalstring theory. This work addresses this limit, putting it in its broadermatrix-model context; comparing results between multicritical models andminimal strings (i.e., changing in-between multicritical and conformalbackgrounds); and in both cases making the limit of large matter-central-chargeprecise (as such limit can also be defined for the multicritical series). Theseanalyses are first done via spectral geometry, at both perturbative andnonperturbative levels, addressing the resurgent large-order growth ofperturbation theory, alongside a calculation of nonperturbativeinstanton-actions and corresponding Stokes data. This calculation requires analgorithm to reach large-order, which is valid for arbitrary two-dimensionaltopological gravity. String equations -- as derived from the GD construction ofthe resolvent -- are analyzed in both multicritical and minimal stringtheoretic contexts, and studied both perturbatively and nonperturbatively(always matching against the earlier spectral-geometry computations). Theresulting solutions, as described by resurgent transseries, are shown to beresonant. The large matter-central-charge limit is addressed -- in thestring-equation context -- and, in particular, the string equation for JTgravity is obtained to next derivative-orders, beyond the known genus-zero case(its possible exact-form is also discussed). Finally, a discussion ofgravitational perturbations to Schwarzschild-like black hole solutions in theseminimal-string models, regarded as deformations of JT gravity, is included -alongside a brief discussion of quasinormal modes.

From Minimal Strings towards Jackiw-Teitelboim Gravity: On their Resurgence, Resonance, and Black Holes