Diagrammatics for Bose condensation in anyon theories

摘要: We reformulate the topological symmetry-breaking scheme for phase transitions in systems with anyons a graphical manner. A set of quantities called vertex lifiting coefficients (VLCs) is introduced and used to specify full operator content broken phase. First, it shown how assumption that charges behaves like vacuum new theory naturally leads diagrammatic consistency conditions condensate. This recovers notion condensate earlier approaches uncovers connection pure mathematics. The VLCs are needed solve establish mapping fusion splitting spaces into parent enables one calculate data $(S,T,R$, $F$ matrices) condensed closed-form expressions terms provided. furthermore furnish concrete recipe lift arbitrary diagrams directly from original using only limited number we describe method explicit calculation large class bosonic condensates. allows condensed-phase many physically relevant cases representative examples worked out detail.