Speaker
Jonathan Karl
(Julius-Maximilians-university Würzburg)
Description
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 partition function in the Schwarzian regime, through an inflation rule, which is used to construct the lattice layer by layer. Furthermore we study the spacetime fluctuations of this system by mapping the bulk theory to an Ising model. The phase transition of this model is studied analytically through a mean field approach, as well as numerically.
Primary authors
Johanna Erdmenger
(Julius-Maximilians-Universitaet Wuerzburg)
Jonathan Karl
(Julius-Maximilians-university Würzburg)
Yanick Thurn
(Julius-Maximilians Universität Würzburg)
Dr
Zhuo-Yu Xian
(Julius-Maximilians-university Würzburg)
