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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Mathematical Materials Science and AdS/CFT

MP 2.3: Vortrag

Dienstag, 1. April 2025, 14:45–15:05, ZHG001

Random Matrix Universality as a tool in 2d Quantum Gravity: Beyond the orientable case — •Torsten Weber1, Jarod Tall2, Fabian Haneder1, Marco Lents1, Juan Diego Urbina1, and Klaus Richter11Universität 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 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 random matrix universality, ubiquitous in quantum chaos, and study its implications on JT gravity. Specifically we focus on the spectral form factor (SFF), a prime example of universality on the matrix model side and thus a key characteristic of quantum chaos. While in the orientable setting the study reveals the perturbative expansion of the SFF in JT gravity to show behaviour non-perturbative from the point of view of random matrices and cancellations within key geometric quantities to match the universal prediction, this becomes even more interesting when including unorientable contributions. This is due to perturbative contributions in this setting, requiring regularisation and being more complicated to compute already, even at the regularisation-independent level showing apparent deviations from the universal prediction. We show how these deviations can be made sense of for the regularisation independent part by employing a bootstrapping-like argument and how this leads to agreement, and thus a strong sign for the presence of chaos, in full unorientable JT gravity.

Keywords: JT gravity; Ranom Matrix Theory; Quantum Chaos; Quantum Gravity

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