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Mathematical Research at the University of Cambridge

 

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.

Further information

Time:

30Oct
Oct 30th 2025
14:00 to 15:00

Venue:

Seminar Room 1, Newton Institute

Speaker:

Luisa Eck (CALTECH (California Institute of Technology))

Series:

Isaac Newton Institute Seminar Series