物理状态列阵的顶点算子表达式

arXiv - MATH - Quantum Algebra Pub Date : 2024-08-14 DOI:arxiv-2408.07597

Thomas Driscoll-Spittler

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引用次数: 0

摘要

我们研究了与中心电荷为 24 的某些顶点算子代数相关的物理状态的李代数。通过应用弦理论中的无鬼定理，我们用顶点代数运算表达了相应的列括号。在月光模块的特例中，这一结果回答了鲍彻德斯在他关于畸形月光猜想的论文中提出的一个问题。

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Vertex operator expressions for Lie algebras of physical states

We study the Lie algebra of physical states associated with certain vertex operator algebras of central charge 24. By applying the no-ghost theorem from string theory we express the corresponding Lie brackets in terms of vertex algebra operations. In the special case of the Moonshine module this result answers a question of Borcherds, posed in his paper on the Monstrous moonshine conjecture.

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arXiv - MATH - Quantum Algebra

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