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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 10: AdS/CFT
MP 10.5: Talk
Thursday, March 21, 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