论文标题
2D RCFT中的通用相关器和新颖的宇宙
Universal Correlators and Novel Cosets in 2d RCFT
论文作者
论文摘要
与Cvitanović-Deligne系列$ a_1，a_2，g_2，d_4，d_4，f_4，e_6，e_7 $相对于Cvitanović-Deligne系列中的Lie代数对应的两级级别-1 WZW模型已被争辩说形成了coset对相对于Meromormorphic $ e_ {8,8,11} $ cft。这样做的证据已经采取了角色之间的全态双线性关系的形式。我们建议，在这些模型中，初选的合适的四点功能也遵守双线性关系，将它们结合到$ e_ {8,1} $的当前相关器中，并提供了在每种情况下这些关系所存在的有力证据。由于特殊身份涉及代数或超几何函数的张量不变的特殊身份，因此不同的情况有效。特别是这些结果验证了具有相当微妙特征的特殊WZW模型的相关器的先前计算。我们还发现证据表明，中间顶点操作员代数A $ _ {0.5} $和E $ _ {7.5} $，以及三个字符A $ _ {4,1} $理论，似乎也满足了新颖的coset关系。
The two-character level-1 WZW models corresponding to Lie algebras in the Cvitanović-Deligne series $A_1,A_2,G_2,D_4,F_4,E_6,E_7$ have been argued to form coset pairs with respect to the meromorphic $E_{8,1}$ CFT. Evidence for this has taken the form of holomorphic bilinear relations between the characters. We propose that suitable 4-point functions of primaries in these models also obey bilinear relations that combine them into current correlators for $E_{8,1}$, and provide strong evidence that these relations hold in each case. Different cases work out due to special identities involving tensor invariants of the algebra or hypergeometric functions. In particular these results verify previous calculations of correlators for exceptional WZW models, which have rather subtle features. We also find evidence that the intermediate vertex operator algebras A$_{0.5}$ and E$_{7.5}$, as well as the three-character A$_{4,1}$ theory, also appear to satisfy the novel coset relation.
