BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Satoshi Yamaguchi (Osaka University) DTSTART:20230131T050000Z DTEND:20230131T070000Z DTSTAMP:20260423T022841Z UID:SNUSTRING/4 DESCRIPTION:Title: Non-invertible symmetries on the lattice (2/2)\nby Satoshi Yamaguchi (Osaka University) as part of SNU String Seminar\n\n\nAbstract\nRecently\ , the study of generalized symmetries and their applications has been rapi dly developing. In particular\, examples of a class of generalized symmetr y called "non-invertible symmetries" have been found in four dimensions. T he key idea in this development is the "topological defects." An approach to such generalized symmetry and topological defects is through the latti ce theory approach developed by Aasen\, Mong\, and Fendley. In this lectur e\, I will explain this AMF approach and the generalization to four dimens ions done by Koide\, Nagoya\, and myself. I will start with one-dimensiona l systems and explain the relation between classical statistical mechanic s and quantum mechanics as well as operators and defects. Then\, I will tu rn to two dimensions and explain the Kramerse-Wannier duality and its mani festation by non-invertible topological defects. Finally\, I will explain our own work on the topological defects in the four dimensional Z2 lattice gauge theory.\n LOCATION:https://researchseminars.org/talk/SNUSTRING/4/ END:VEVENT END:VCALENDAR