[Seminar] Conformal Dimensions On Causal Random Geometry | Ryan Barouki (University of Oxford)

The speaker: Ryan Barouki (University of Oxford)

Title:  Conformal Dimensions On Causal Random Geometry

Abstract: We investigate the interaction between matter and causal dynamical triangulations (CDT) in the context of two-dimensional quantum gravity. We focus on the Ising model coupled to CDT, contrasting this with Liouville gravity and the relation to the Knizhnik-Polyakov-Zamolodchikov (KPZ) formula. We demonstrate analytically for the quenched model that the conformal dimensions of fields on CDT align with those on a fixed lattice. We do this using a combination of lattice methods and adapting the Duplantier-Sheffield framework to CDT, emphasizing the one-dimensional nature of CDT and its description via a stochastic differential equation. 

Based on: https://arxiv.org/abs/2501.17930v2

Date and time: 25th June Wedensday at 17:00

Location: L4F01

【Recording】