论文标题
OPE系数和来自2D CFT的可集成散射描述的质量间隙
OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT's
论文作者
论文摘要
许多二维形式的保形场理论都有一种可替代的整合散射描述，可再现它们的保形权重谱。以Lee-Yang非团体CFT和3态POTTS最小模型的情况为例，我们根据其可集成的描述得出了公式，以供某个特定特定主要运算符和两个相同但本质上是任意的操作员的OPE系数。作为一个结果，我们还获得了一个新的公式，用于质量差距的关系，以进行CFT的整合大规模变形。这些结果是通过以可集成的CFT数据（即扭结和反键型TBA溶液）来表达能量扩展中的第一个非平凡系数。
Many two-dimensional conformal field theories have an alternative integrable scattering description, which reproduces their spectrum of conformal weights. Taking as an example the case of the Lee-Yang nonunitary CFT and the 3-state Potts minimal model, we derive formulas, in terms of their integrable description, for the OPE coefficients of a certain specific primary operator and two identical but otherwise essentially arbitrary operators. As a side result we also obtain a novel formula for the mass-gap relation for the integrable massive deformation of the CFT. These results are obtained through expressing the first nontrivial coefficient in the UV expansion of the energy in terms of the integrable CFT data, i.e. the kink and anti-kink TBA solutions.
