Symmetries of K3 sigma models
Symmetries of K3 sigma models
复制标题
K3 sigma 模型的对称性
DOI：
--
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
R. Volpato
中科院分区：
文献类型：
--
作者：
M. Gaberdiel;S. Hohenegger;R. Volpato
证明了K3上任意非线性σ模型的超对称保自同构生成Conway群Co1的一个子群。这是Mukai和Kondo的经典定理的严格推广，表明任何K3流形的辛自同构构成Mathieu群M23的一个子群。Conway组CO1包含作为子组的Mathieu组M24(特别是M23)。我们用K3的三个显式CFT实现：自对偶点的T_4/Z_2和两个Gepner模型(2)4和(1)6证实了定理的预言。在每种情况下，我们都证明了它们的对称性并不形成M24的子群，而是如我们预测的那样位于CO1内
It is shown that the supersymmetry-preserving automorphisms of any non-linear σ-model on K3 generate a subgroup of the Conway group Co1. This is the stringy generalisation of the classical theorem, due to Mukai and Kondo, showing that the symplectic automorphisms of any K3 manifold form a subgroup of the Mathieu group M23. The Conway group Co1 contains the Mathieu group M24 (and therefore in particular M23) as a subgroup. We confirm the predictions of the Theorem with three explicit CFT realisations of K3: the T 4 /Z2 orbifold at the self-dual point, and the two Gepner models (2) 4 and (1) 6 . In each case we demonstrate that their symmetries do not form a subgroup of M24, but lie inside Co1 as predicted by our