Proliferation Transitions for Non-Abelian Anyons

Abstract:We construct phase transitions that proliferate condensable anyons in general 2+1d topological orders, including non-abelian ones. The central tool that provides a systematic approach to this question is the Symmetry Topological Field Theory (SymTFT). For a given topological order, we identify the relevant symmetry from the transparent lines generated by the condensable anyons, and thereby realize the topological order in terms of a 3+1d SymTFT sandwich. The proliferation phase transition is realized by coupling scalar fields to the anyons purely on the symmetry boundary of the SymTFT. We illustrate the construction for abelian theories, as well as non-abelian ones, $D(S_3)$ and $SU(2)_k$ Chern-Simons theories, and extend it to anomalous anyons.

Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA); Quantum Physics (quant-ph)

arXiv:2608.12303 [cond-mat.str-el]

(or arXiv:2608.12303v2 [cond-mat.str-el] for this version)

https://doi.org/10.48550/arXiv.2608.12303 Focus to learn more arXiv-issued DOI via DataCite

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