Lie conformal algebras are useful tools for studying vertex operator algebras and their representations. In this paper, we establish close relations between Poisson conformal algebras and representations of Lie conformal algebras. We also calculate explicitly Poisson conformal brackets on the associated graded conformal algebras of universal associative conformal envelopes of the Virasoro conformal algebra and the Neveu–Schwartz conformal superalgebra.

中文翻译：

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通用包络泊松保形代数

李共形代数是研究顶点算子代数及其表示的有用工具。在本文中，我们建立了泊松共形代数和李共形代数的表示之间的密切关系。我们还计算了 Virasoro 共形代数和 Neveu-Schwartz 共形超代数的通用关联共形包络的相关分级共形代数上的泊松共形括号。