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

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arxiv 2306.10139 v4 pith:2WZIEIYB submitted 2023-06-16 hep-th

Clifford V. Johnson This is my paper · ORCID
classification hep-th
keywords modelmatrixnon-perturbativephysicsrandomsupergravitybeyondcaptures
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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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weil-Petersson volumes for extended JT supergravity from ordinary differential equations

    hep-th 2025-07 conditional novelty 7.0 of 10

    Weil-Petersson volumes for N=2 and N=4 JT supergravity are computed efficiently from the string equation and Gel'fand-Dikii equation, confirming and extending Turiaci-Witten results.

  2. Extended JT supergravity and random matrix models: The power of the string equation

    hep-th 2025-07 conditional novelty 7.0 of 10

    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.

  3. Mixed 't Hooft Anomalies and the Witten Effect for AdS Black Holes

    hep-th 2024-12 conditional novelty 7.0 of 10

    Near-BPS dyonic AdS4 black holes with a theta angle show a Witten-effect charge shift that reduces the mass gap and the index, and at the special angle both the Bekenstein-Hawking entropy and the supersymmetric index ...

  4. Further aspects of Supersymmetric Virasoro Minimal Strings

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper defines the 0B supersymmetric Virasoro minimal string as an average of two 0A models and shows its loop correlators beyond the leading disc and cylinder vanish to all orders in perturbation theory.

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