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SUMMARY:Categorical Conserved Currents - continuation - Paul Fendley (Univ
 ersity of Oxford)
DTSTART:20251001T130000Z
DTEND:20251001T140000Z
UID:TALK237280@talks.cam.ac.uk
DESCRIPTION:A lattice statistical-mechanical model with exact topological 
 defect lines exists for any fusion category\, In this talk I describe how 
 to generalise these methods to construct conserved currents in such lattic
 e models. The currents are defined by terminating the defect lines\, and a
 re conserved when they satisfy a lattice divergence-free condition. The ca
 tegorical structure allows one to find fractional-spin conserved currents 
 in many (but not all) models\, and in all known cases the corresponding la
 ttice model is integrable. The method therefore gives a linear way of &ldq
 uo\;Baxterising&rdquo\;\, i.e. building a solution of the Yang-Baxter equa
 tion out of topological data.&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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