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Author

Clay Córdova

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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. · 0 citations
Open access Dec 2023

Non-invertible anyon condensation and level-rank dualities

<jats:p> We derive new dualities of topological quantum field theories in three spacetime dimensions that generalize the familiar level-rank dualities of Chern-Simons gauge theories. The key ingredient in these dualities is non-Abelian anyon condensation, which is a gauging operation for topological...

Clay Córdova, Diego García-Sepúlveda · 11 citations · ⚡1

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