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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
[img]PDF - Submitted Version
arxiv v1
(270kB)
Date of publication of this fulltext: 18 Nov 2022 14:20



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, ...

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