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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: AdS/CFT

MP 10.5: Vortrag

Donnerstag, 21. März 2024, 11:20–11:40, HL 001

JT gravity on hyperbolic lattices as an Ising model — •Jonathan Karl¹, Johanna Erdmenger¹, Zhuo-Yu Xian¹, Yanick Thurn¹, and Matthias Vojta² — ¹Julius Maximilians Universität Würzburg — ²Technische Universität Dresden

In recent years the search for a holographic duality, which is based on tessellations of the hyperbolic plane has gained momentum and the construction of suitable boundary theories has been considered in the literature. We propose a discrete analog of JT gravity, defined on hyperbolic lattices as a dual bulk theory. We calculate the resolvent function, which is related to the partition function, by mapping the gravity theory to an Ising model. Furthermore, we propose a realisation of discrete JT gravity as a matrix integral.

Keywords: Discrete holography; hyperbolic lattices; Ising model; matrix integral