AI 中文总结
该研究利用对称拓扑场论（SymTFT），在2+1维拓扑序中构建可凝聚任意子的增殖相变，通过SymTFT的对称边界耦合标量场实现，还在D(S₃)、SU(2)ₖ等非阿贝尔理论及阿贝尔理论中验证并推广至反常任意子。
AI 中文摘要
我们在一般2+1维拓扑序（包括非阿贝尔拓扑序）中构建使可凝聚任意子增殖的相变。解决该问题的核心工具是对称拓扑场论（SymTFT）。对于给定拓扑序，我们从可凝聚任意子产生的透明线中识别相关对称性，进而通过3+1维SymTFT夹层实现该拓扑序。增殖相变通过在SymTFT的对称边界上仅将标量场与任意子耦合来实现。我们对阿贝尔理论以及非阿贝尔的D(S₃)和SU(2)ₖ陈-西蒙斯理论阐释该构造，并将其推广到反常任意子。
英文摘要
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.
Comments25 pages, v2: added SU(2)_k exceptional transitions and references
