On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine Module
On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine Module
复制标题
论妖月光与月光模块独特性的关系
DOI：
10.1007/bf02099885
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发表时间：
1993
影响因子：
2.4
通讯作者：
M. Tuite
中科院分区：
文献类型：
--
作者：
M. Tuite
我们考虑了 Moonshine 模块的推测唯一性和 Monstrous Moonshine 之间的关系，Monstrous Moonshine 是每个 Monster 组 Thompson 系列的模不变性组的属零属性。我们首先讨论基于 Leech 晶格紧致玻色弦自同构的一族可能的 Zn 亚纯轨道结构。我们为 Monster groupM 的所有 51 个非 Fricke 类重现了 Thompson 级数，以及这些类的中心化器与 51 个相应的 Conway 群中心化器之间的新关系（概括了 5 个此类类的众所周知的关系）。假设它是唯一的，我们考虑 的亚纯轨道折叠，并证明当且仅当 的唯一亚纯轨道折叠是其本身或 Leech 理论时，Monstrous Moonshine 成立。因此，对 的亚形轨道折叠的限制以一种新的方式将Monstrous Moonshine 与 的独特性联系起来。
We consider the relationship between the conjectured uniqueness of the Moonshine Module,, and Monstrous Moonshine, the genus zero property of the modular invariance group for each Monster group Thompson series. We first discuss a family of possibleZn meromorphic orbifold constructions of based on automorphisms of the Leech lattice compactified bosonic string. We reproduce the Thompson series for all 51 non-Fricke classes of the Monster groupM together with a new relationship between the centralisers of these classes and 51 corresponding Conway group centralisers (generalising a well-known relationship for 5 such classes). Assuming that is unique, we consider meromorphic orbifoldings of and show that Monstrous Moonshine holds if and onlyZr if the only meromorphic orbifoldings of are itself or the Leech theory. This constraint on the meromorphic orbifoldings of therefore relates Monstrous Moonshine to the uniqueness of in a new way.
影响因子：
2.8
作者：
BELAVIN, AA;POLYAKOV, AM;ZAMOLODCHIKOV, AB
通讯作者：
ZAMOLODCHIKOV, AB