Non-Perturbative Random Matrix Model of $\mathcal{N}=2$ JT Supergravity

Abstract

It is shown how to non-perturbatively define a random matrix model that captures key physics of $\mathcal{N}=2$ Jackiw-Teitelboim (JT) supergravity, going well beyond the perturbative topological expansion defined recently by Turiaci and Witten. A decomposition into an infinite family of certain multicritical models is derived, leading to the definition of a non-linear differential equation from which the physics may be computed. BPS states are naturally described by the model. The non-perturbative completions of the spectral densities for non-BPS multiplets are readily extracted.

4 main pages, 2 supplemental material pages, 4 figures, 1 trumpet (v3: Complete description in terms of component minimal models for all sectors achieved! New exact formulae presented. v4: published version added)

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• Les Houches lectures on two-dimensional gravity and holography