Humboldt-Universität zu Berlin - Faculty of Mathematics and Natural Sciences - Department of Physics

Prof. Dr. Johanna Erdmenger (Julius-Maximilians-Universität Würzburg) will talk about:

Discrete Holography

Abstract

I will explain recent progress towards establishing a holographic AdS/CFT duality for discrete spaces involving a regular tiling of hyperbolic space. Discrete holography is of interest to a broad audience reaching - beyond holographers - from mathematicians interested in CFTs on fractals to condensed matter scientists and electrical engineers studying hyperbolic lattices. In the talk, I will present a recent example where an aperiodic XXZ spin chain is obtained naturally by extrapolating the bulk tiling to its boundary. The properties of this model are studied using RG techniques, which provide a tensor network construction for its ground state. We calculate and compare the entanglement entropy and mutual information both at the boundary and in the bulk. I will comment on the next steps towards obtaining a full dynamical duality of discrete systems. One idea is to establish a discrete matrix model duality.

Based on arXiv 2205.05693, 2205.05081, 2212.11292 and ongoing work

The Colloquium will be held in "hybrid" format, i.e., you can join the talk in the lecture hall or via zoom.
Zoom Link:
https://hu-berlin.zoom.us/j/64567336962?pwd=QjhyMW5SbFVBZWVNRWJrTFBFN2Rtdz09
Meeting-ID: 645 6733 6962
Passwort: 607723