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論文資訊
- 類型:已發表論文
- 日期:2014-11-17
摘要
We reformulate the topological symmetry-breaking scheme for 相變s in systems with anyons in a graphical manner. A set of quantities called vertex lifiting coefficients (VLCs) is introduced and used to specify the full operator content of the broken phase. First, it is shown how the assumption that a set of charges behaves like the vacuum of a new theory naturally leads to diagrammatic consistency conditions for a condensate. This recovers the notion of a condensate used in earlier approaches and uncovers the connection to pure mathematics. The VLCs are needed to solve the consistency conditions and establish the mapping of the fusion and splitting spaces of the broken theory into the parent phase. This enables one to calculate the full set of topological data (S,T,R, and F matrices) for the
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