Fusion of spin fields in W3 conformal field theories
Fusion of spin fields in W3 conformal field theories
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W3 共形场论中自旋场的融合
DOI：
10.1088/1751-8121/ab56e3
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Yacine Ikhlef and Hirohiko Shimada
中科院分区：
文献类型：
--
作者：
J. Jaquette;J.-P. Lessard;and A. Takayasu;Yacine Ikhlef and Hirohiko Shimada
在一般的共形场理论与W 3对称性，我们确定了一个主字段与合理的Kac指数，产生充分充电和中性部门的融合过程，分别。在这个意义上，这个场概括了三态波茨模型的基本自旋场。在这些融合产生的简并场中，我们挑出一个“parafermion”场和一个“能量”场。与Virasoro情形类似，共形维数和的精确曲线有望给出共形Bootstrap分析中酉性界的接近估计。
In generic conformal field theories with W 3 symmetry, we identify a primary field with rational Kac indices, which produces the full charged and neutral sectors by the fusion processes and, respectively. In this sense, this field generalises the fundamental spin field of the three-state Potts model. Among the degenerate fields produced by these fusions, we single out a'parafermion'field and an'energy'field. In analogy with the Virasoro case, the exact curves for conformal dimensions and are expected to give close estimates for the unitarity bounds in the conformal bootstrap analysis.