Speaker
Prof.
Satoshi Yamaguchi
(Osaka University)
Description
Recently, the concept of symmetry has been generalized, and what was not traditionally called symmetry is now being used similarly as symmetry. In this talk, we discuss a class of such generalized symmetries, called non-invertible symmetries, from the viewpoint of the lattice field theories. In particular, we construct topological defects in four-dimensional Z$_2$ lattice gauge theory, including the Kramers-Wannier-Wegner (KWW) duality defect; the KWW defect is an example of non-invertible symmetries. Also, we consider the system with a boundary and discuss the relations between the disk partition functions derived from the non-invertible symmetry.
Primary author
Prof.
Satoshi Yamaguchi
(Osaka University)
