Speaker
Jun-ichi Sakamoto
Description
The relationship between 2d integrable field theory and 2d integrable lattice models is discussed in the framework of 4d Chern-Simons theory. The 2d integrable field theory is realized by coupling the 4d theory to several 2d surface ordered defects, each defect is then discretized into a 1d defect. We show that the resulting 1d defects are dualized to Wilson lines, and the lattice of discretized defects realizes an integrable lattice model. Our discretization procedure works systematically for a wide class of integrable models (including trigonometric and elliptic models). This is based on a work [hep-th/2309.14412] with Meer Ashwinkumar and Masahito Yamazaki.
Primary author
Jun-ichi Sakamoto