Preprint
Oct 2026
The Anyon Atlas
We classify possible topological quantum field theories in 2+1 dimensions with up to 22 anyons in the bosonic case and up to 26 in the fermionic case, through the modular data of modular and supermodular tensor categories. We construct such data via congruence representations of $\mathrm{SL}(2,\mathbb{Z})$ using a nume...
Jonah Berean-Dutcher, Clay Córdova, Julio Parra-Martinez et al.
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