顶点算子代数中某些群不变积分形式的格积分性
Lattice-integrality of certain group-invariant integral forms in vertex operator algebras
摘要：
某些顶点算子代数具有积分形式（在可数乘积集下封闭的基的积分跨度）。目前还不清楚它们（或它们的整数倍）在VOA上的自然双线性型下作为晶格是积分的。我们表明，格完整性可以安排在一些假设下，包括积分形式不变的有限群的情况下。特别地，在Moonshine VOA中存在格积分Monster不变积分形式。
英文摘要：
Certain vertex operator algebras have integral forms (integral spans of bases which are closed under the countable set of products). It is unclear when they (or integral multiples of them) are integral as lattices under the natural bilinear form on the VOA. We show that lattice-integrality may be arranged under some hypotheses, including cases of integral forms invariant by finite groups. In particular, there exists a lattice-integral Monster-invariant integral form in the Moonshine VOA.
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