We compute the form factors of the order and disorder operators, together with those of the stress–energy tensor, of a two-dimensional three-state Potts model with vacancies along its thermal deformation at the critical point. At criticality, the model is described by the non-diagonal partition function of the unitary minimal model M6,7 of conformal field theories and is accompanied by an internal S ₃ symmetry. The off-critical thermal deformation is an integrable massive theory that is still invariant under S ₃. The presence of infinitely many conserved quantities, whose spin spectrum is related to the exceptional Lie algebra E ₆, allows us to determine the analytic S-matrix, the exact mass spectrum and the matrix elements of local operators of this model in an exact non-perturbative way. We use the spectral representation series of the correlators and the fast convergence of these series to compute several universal ratios of the renormalization group.

中文翻译：

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三临界三态 Potts 模型在其缩放极限下的形状因数

我们计算了二维三态 Potts 模型的有序和无序算子的形状因子，以及应力-能量张量的形状因子，该模型在临界点沿其热变形存在空位。在临界点，模型由酉最小模型的非对角配分函数描述 中号6,7 共形场论并伴随着内部S _3.对称性。非临界热变形是一个可积的大规模理论，在S ₃ .存在无限多个守恒量，其自旋谱与特殊的李代数相关乙 ₆、让我们确定解析S-矩阵，精确的质谱和该模型的局部算子的矩阵元素以精确的非微扰方式。我们使用相关器的谱表示级数和这些级数的快速收敛来计算重整化群的几个通用比率。