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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 10: AdS/CFT
MP 10.3: Talk
Thursday, March 21, 2024, 10:20–10:40, HL 001
Implications from RMT universality on orientable/unorientable Weil-Petersson Volumes — •Torsten Weber1, Jarod Tall2, Fabian Haneder1, Juan Diego Urbina1, and Klaus Richter1 — 1Universität Regensburg, Regensburg, Deutschland — 2Washington State University, Pullman, USA
In recent years the discovery of an AdS/CFT like correspondence of quantum JT gravity and a distinct random matrix model has led to an intense cross-fertilisation of the a priori distinct fields of quantum gravity and quantum chaos. In this spirit we use the well-known concept of random matrix universality and study its implications on the gravitational dual. Specifically we focus here on the spectral form factor (SFF) which serves as a prime example showcasing universality on the matrix model side. We study its connection to the objects appearing in its computation on the gravitational side, the volumes of the moduli space of hyperbolic 2-manifolds known as Weil-Petersson (WP) volumes. As a first example of this program we present our results for the bosonic and orientable case of JT where we find that the universal results yields a set of non-trivial constraints to be obeyed by the WP volumes. We continue by discussing our ongoing work on the bosonic unorientable case where we find WP volumes of structures different from the orientable WP volumes. While reproducing the expected agreement with the universal result micro-canonically we find that the structure of the canonical SFF deriving from these volumes necessitates a refined computation on the universal RMT side by which we are able to reproduce its key features.
Keywords: AdS/CFT; JT Gravity; RMT