Work

Proliferation Transitions for Non-Abelian Anyons

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.12303

Authors: Schafer-Nameki, Sakura, Zheng, Yunqin, Antinucci, Andrea

Institutions: University of Oxford, Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: UK Research and Innovation, Yuhan, National Natural Science Foundation of China, Chinese Academy of Sciences, University of Chinese Academy of Sciences, Kavli Institute for Theoretical Physics, University of California, Santa Barbara

Award: G7359532504

OpenAlex ID: W7202364227

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