标题： (0,4) 超对称 sigma 模型在 K3 上的扭结纲 显示英文标题

标题： Twining Genera of (0,4) Supersymmetric Sigma Models on K3

摘要： 具有(0,4)世界面超对称性和K3目标的共形场论可以用来以超对称方式将E8xE8杂交弦紧致化到六维。 指定此类模型的数据包括在E8xE8规范群中适当配置的24个规范瞬子，以满足反常抵消的约束。 在本注释中，我们计算了扭 genera - 带有适当插入离散对称性生成器的椭圆 genus - 对于具有不同瞬子嵌入的(0,4)理论。 我们通过构建流到所需共形场论的线性sigma模型，并使用局部化技术来实现这一点。 我们给出了几个这样的扭 genera 的例子，这些例子与将这些(0,4)模型与有限简单散在群M24相关的月光猜想一致。 显示英文摘要

摘要： Conformal field theories with (0,4) worldsheet supersymmetry and K3 target can be used to compactify the E8xE8 heterotic string to six dimensions in a supersymmetric manner. The data specifying such a model includes an appropriate configuration of 24 gauge instantons in the E8xE8 gauge group to satisfy the constraints of anomaly cancellation. In this note, we compute twining genera - elliptic genera with appropriate insertions of discrete symmetry generators in the trace - for (0,4) theories with various instanton embeddings. We do this by constructing linear sigma models which flow to the desired conformal field theories, and using the techniques of localization. We present several examples of such twining genera which are consistent with a moonshine relating these (0,4) models to the finite simple sporadic group M24.