论文标题
巨大月光的拓扑模块化
Topological modularity of Monstrous Moonshine
论文作者
论文摘要
我们探讨了可怕的月光，Orbifolds，Kitaev链和拓扑模块形式之间的联系。研究并发现了怪物CFT的对称轨道以及通过怪物亚组的进一步的轨道，并发现了满足分裂性能，该特性最近被用来排除极端全体形态保形理论。对于怪物的环状亚组的Orbifolds，我们获得了涉及完整的McKay-Thompson系列的划分属性。通过利用广义月光的数据，进一步考虑了怪物的非亚洲亚组的Orbifolds。
We explore connections among Monstrous Moonshine, orbifolds, the Kitaev chain and topological modular forms. Symmetric orbifolds of the Monster CFT, together with further orbifolds by subgroups of Monster, are studied and found to satisfy the divisibility property, which was recently used to rule out extremal holomorphic conformal field theories. For orbifolds by cyclic subgroups of Monster, we arrive at divisibility properties involving the full McKay-Thompson series. Orbifolds by non-abelian subgroups of Monster are further considered by utilizing the data of Generalized Moonshine.
