スピーカー：森川 億人 (理研iTHEMS) 

タイトル：Lattice non-perturbative foundation of generalized symmetry and applications

アブストラクト：
Topology and symmetry in non-Abelian gauge theories are considered with
lattice regularization. Recently, the concept of symmetry has been
generalized; the important ingredients are given by higher-form,
higher-group, and non-invertible symmetries. First, we start by extending
Luescher’s construction of topology on the lattice. Thus, we recover the
SU(N)/Z_N principal bundle structure from lattice SU(N) gauge fields
coupling to Z_N 2-form gauge fields. We then explicitly demonstrate the
fractional topological charge. Our construction is applied to analyzing the
higher-group and non-invertible symmetries in the SU(N) gauge theory. Also,
the theoretical understanding provides a computational foundation for those
in lattice simulations. We carry out numerical simulations by using the
open code on GitHub [https://github.com/o-morikawa/Gaugefields.jl], which
gives an available implementation of higher-form gauge fields.