论文标题

顶点代数和质量公式的属

Genus of vertex algebras and mass formula

论文作者

Moriwaki, Yuto

论文摘要

我们介绍了一个属及其质量的顶点代数的概念。对于晶格顶点代数,它们的属与晶格的属相同,该属在晶格的分类中起着重要作用。我们得出一个将顶点代数的质量与晶格有关的公式,然后给出一些全体形态顶点操作员代数的新表征。

We introduce the notion of a genus and its mass for vertex algebras. For lattice vertex algebras, their genera are the same as those of lattices, which plays an important role in the classification of lattices. We derive a formula relating the mass for vertex algebras to that for lattices, and then give a new characterization of some holomorphic vertex operator algebras.

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