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

URN to cite this document:: urn:nbn:de:bvb:355-epub-532291
DOI to cite this document:: 10.5283/epub.53229

Weber, Torsten

; Haneder, Fabian

; Richter, Klaus

; Urbina, Juan Diego

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Date of publication of this fulltext: 18 Nov 2022 14:20

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Abstract

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, ...