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arXiv 1706.07596math.QAmath.NT
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Jacobi $n$ -点函数的Zhu约化及其应用

Zhu reduction for Jacobi $n$-point functions and applications

Kathrin Bringmann, Matthew Krauel, Michael P. Tuite

摘要:

我们建立精确的朱约化公式的Jacobi $n$ -点函数,其中显示没有任何可能的极点出现在这些公式。然后,我们利用这一点产生强正则顶点算子代数的结构有关的结果,也激励新的微分算子作用于雅可比形式。最后,我们将约化公式应用到费米子模型中,以创建准Jacobi形式的多项式。

英文摘要:

We establish precise Zhu reduction formulas for Jacobi $n$-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly regular vertex operator algebras, and also to motivate new differential operators acting on Jacobi forms. Finally, we apply the reduction formulas to the Fermion model in order to create polynomials of quasi-Jacobi forms which are Jacobi forms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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