论文标题
Meromoryphic cosets和三个字符CFT的分类
Meromorphic Cosets and the Classification of Three-Character CFT
论文作者
论文摘要
我们研究了具有三个独立字符并消失的Wronskian指数的可允许的矢量值模块化形式，并确定哪些索引与真正的2D共形场理论相对应。这是通过找到双线性coset型关系来完成的，将它们与中央指控配对8、16、24、32和40配对。这样的配对使我们能够识别一些具有确定的CFT的字符并排除其他角色。作为关键结果，我们将所有统一三字符CFT与消失的Wronskian指数分类，不包括$ C = 8,16 $。完整列表具有两个无限仿射系列$ b_ {r，1}，d_ {r，1} $和45个其他理论。作为副产品，在总中央电荷的较高值下，我们还发现了对Meromormorphic理论的存在或其他方式的约束。我们分别列出了一些可能对应于中间顶点操作员代数的情况。
We investigate the admissible vector-valued modular forms having three independent characters and vanishing Wronskian index and determine which ones correspond to genuine 2d conformal field theories. This is done by finding bilinear coset-type relations that pair them into meromorphic characters with central charges 8, 16, 24, 32 and 40. Such pairings allow us to identify some characters with definite CFTs and rule out others. As a key result we classify all unitary three-character CFT with vanishing Wronskian index, excluding $c=8,16$. The complete list has two infinite affine series $B_{r,1},D_{r,1}$ and 45 additional theories. As a by-product, at higher values of the total central charge we also find constraints on the existence or otherwise of meromorphic theories. We separately list several cases that potentially correspond to Intermediate Vertex Operator Algebras.
