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Constraining Weil–Petersson volumes by universal random matrix correlations in low-dimensional quantum gravity

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Weber, Torsten ; Haneder, Fabian ; Richter, Klaus ; Urbina, Juan Diego

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Date of publication of this fulltext: 23 May 2023 07:44


Based on the discovery of the duality between Jackiw–Teitelboim quantum gravity and a double-scaled matrix ensemble by Saad, Shenker and Stanford in 2019, we show how consistency between the two theories in the universal random matrix theory (RMT) limit imposes a set of constraints on the volumes of moduli spaces of Riemannian manifolds. These volumes are given in terms of polynomial functions, ...


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