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Logarithmic modules for chiral differential operators of nilmanifolds
Journal of Algebra ( IF 0.9 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.jalgebra.2020.08.011
Bely Rodriguez Morales

We describe explicitly the vertex algebra of (twisted) chiral differential operators on certain nilmanifolds and construct their logarithmic modules. This is achieved by generalizing the construction of vertex operators in terms of exponentiated scalar fields to Jacobi theta functions naturally appearing in these nilmanifolds. This provides with a non-trivial example of logarithmic vertex algebra modules, a theory recently developed by Bakalov.

中文翻译:

nilmanifolds 的手性微分算子的对数模块

我们明确地描述了某些 nilmanifolds 上的(扭曲的)手性微分算子的顶点代数并构造了它们的对数模块。这是通过将顶点算子的构造根据指数标量场推广到自然出现在这些 nilmanifolds 中的 Jacobi theta 函数来实现的。这提供了一个对数顶点代数模块的非平凡示例,这是最近由 Bakalov 开发的理论。
更新日期:2021-01-01
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