格子上陪集CFTs的Cardy态、缺陷线和手征算符
Cardy states, defect lines and chiral operators of coset CFTs on the lattice
摘要：
我们构造了格点上有理陪集共形场论的Cardy态、亏损线和手征算符。体理论是通过不同弦网的张量网络表示之间的重叠而获得的，而主场则是通过使用原始拓扑理论中任意子的拓扑超选择扇区而产生的。这个映射提供了二维共形场论和三维拓扑场论之间等价性的明确表现：它们的基态和基元激发由完全相同的张量表示。
英文摘要：
We construct Cardy states, defect lines and chiral operators for rational coset conformal field theories on the lattice. The bulk theory is obtained by taking the overlap between tensor network representations of different string-nets, while the primary fields emerge from using the topological superselection sectors of the anyons in the original topological theory. This mapping provides an explicit manifestation of the equivalence between conformal field theories in two dimensions and topological field theories in three dimensions: their groundstates and elementary excitations are represented by exactly the same tensors.
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