Orateur
Dmitry Chelkak
(University of Geneva and PDMI RAS St. Petersburg)
Description
In this talk we plan to summarize recent results on convergence
of correlations functions in the critical 2D nearest-neighbor Ising model
(on general planar domains) to their continuous counterparts. This
includes
mixed correlations of spins, disorders, fermions and energy densities (in
preparation, joint with Clement Hongler (Lausanne) and Konstantin Izyurov
(Helsinki)) and a discrete version of the stress-energy tensor
(arXiv:1604.06339, joint with Alexander Glaznam (Tel-Aviv) and Stanislav
Smirnov (Geneva)). The main technical tool is convergence theorems for
discrete holomorphic spinors that are known to solve particular
Riemann-type boundary value problems. In particular, one can construct all
the aforementioned correlation functions and to deduce relevant CFT fusion
rules starting with solutions to these Riemann-type boundary value
problems
in continuum.
Auteur principal
Dmitry Chelkak
(University of Geneva and PDMI RAS St. Petersburg)
