Categorical Conserved Currents

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• Paul Fendley (University of Oxford)
• Wednesday 01 October 2025, 10:00-11:00
• Seminar Room 2, Newton Institute.

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BID - Quantum field theory with boundaries, impurities, and defects

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 lattice models. The currents are defined by terminating the defect lines, and are conserved when they satisfy a lattice divergence-free condition. The categorical structure allows one to find fractional-spin conserved currents in many (but not all) models, and in all known cases the corresponding lattice model is integrable. The method therefore gives a linear way of “Baxterising”, i.e. building a solution of the Yang-Baxter equation out of topological data. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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