BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Paul Fendley (Oxford U.) DTSTART:20210114T151500Z DTEND:20210114T170000Z DTSTAMP:20260423T040411Z UID:LIJC/26 DESCRIPTION:Title: In tegrability and Braided Tensor Categories\nby Paul Fendley (Oxford U.) as part of London Integrability Journal Club\n\n\nAbstract\nMany integrab le critical classical statistical mechanical models and the corresponding quantum spin chains possess a fractional-spin conserved current. These cur rents have been constructed by utilising quantum-group algebras\, fermioni c and parafermionic operators\, and ideas from ``discrete holomorphicity'' . I define them generally and naturally using a braided tensor category\, a topological structure familiar from the study of knot invariants\, anyon s and conformal field theory. Such a current amounts to terminating a latt ice topological defect\, and I will touch on related work on such done wit h Aasen and Mong. I show how requiring a current be conserved yields simpl e constraints on the Boltzmann weights\, and that all of the many models k nown to satisfy these constraints are integrable. This procedure therefore gives a linear construction for ``Baxterising''\, i.e. building a solutio n of the Yang-Baxter equation out of topological data.\n LOCATION:https://researchseminars.org/talk/LIJC/26/ END:VEVENT END:VCALENDAR