The KdV equation governing 2D topological gravity admits a one-parameter transseries; its leading nonperturbative sector reproduces known JT gravity instanton corrections and extends them to multi-instanton order.
On Itzykson-Zuber Ansatz
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abstract
We apply the renormalized coupling constants and Virasoro constraints to derive the Itzykson-Zuber Ansatz on the form of the free energy in topological 2D gravity. We also treat the topological 1D gravity and the Hermitian one-matrix models in the same fashion. Some uniform behaviors are discovered in this approach.
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Non-perturbative effects in JT gravity from KdV equations
The KdV equation governing 2D topological gravity admits a one-parameter transseries; its leading nonperturbative sector reproduces known JT gravity instanton corrections and extends them to multi-instanton order.