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Pure Mathematics 2025
两对Ising向量生成的顶点算子代数
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Abstract:
本文主要研究在月光型顶点算子代数中满足一定条件的2对Ising向量生成的顶点算子代数的结构，这2对Ising向量分别生成1个3A代数，并且生成的2个3A代数的交包含一个同构于L(4/5, 0)
L(4/5, 3)的子顶点算子代数，本文证明了其一共有3种可能的顶点算子代数结构。
In this paper, we mainly study the vertex operator algebra generated by two pairs of Ising vectors in the moonshine type vertex operator algebra. These two pairs of Ising vectors each generate one 3A algebra, and the intersection of the two generated 3A algebras contains a subvertex operator subalgebra that is isomorphic to L(4/5, 0)
L(4/5, 3). We have shown that there are three possible structures of vertex operators algebraic.
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