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Non-Perturbative Random Matrix Model of ${\cal N}=2$ JT Supergravity
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abstract
It is shown how to non-perturbatively define a random matrix model that captures key physics of ${\cal N}{=}2$ 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.
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Cited by 1 Pith paper
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Extended JT supergravity and random matrix models: The power of the string equation
The string equation, with simple analyticity requirements, determines BPS sectors from non-BPS sectors and yields matrix model descriptions for N=3 and large N=4 JT supergravity.
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