Non-invertible symmetry-enriched topological order in string-nets

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• Luisa Eck (CALTECH (California Institute of Technology))
• Thursday 30 October 2025, 14:00-15:00
• Seminar Room 1, Newton Institute.

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BIDW02 - Diving Deeper into Defects: On the Intersection of Field Theory, Quantum Matter, and Mathematics

Topological orders enriched by group symmetries are mathematically described by G-crossed braided extensions and realized in string-net models with G spins on the plaquettes. In this talk, I will outline an extension of this picture beyond group symmetries. Starting from a string-net model for anyon condensation, I show how the construction reproduces the familiar group SETO models when the input category is G-graded. When the input is not G-graded, the same lattice model still has a possibly non-invertible 0-form symmetry, generated by loops of confined anyons. The talk is based on upcoming work with Peter Huston, Kyle Kawagoe and David Penneys.

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

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