论文标题
对数顶点代数和非本地泊松顶点代数
Logarithmic vertex algebras and non-local Poisson vertex algebras
论文作者
论文摘要
对数顶点代数是在我们以前的论文中引入的，该论文是由对数综合场理论促进的。非本地泊松顶点代数是由De Sole和KAC引入的，它是由可集成系统理论的动机。我们证明，任何过滤的对数顶点代数的相关分级矢量空间具有非本地泊松顶点代数的诱导结构。我们使用这种关系来获得对数顶点代数和非本地泊松顶点代数的新示例。 维克多·卡克（Victor G.
Logarithmic vertex algebras were introduced in our previous paper, motivated by logarithmic conformal field theory. Non-local Poisson vertex algebras were introduced by De Sole and Kac, motivated by the theory of integrable systems. We prove that the associated graded vector space of any filtered logarithmic vertex algebra has an induced structure of a non-local Poisson vertex algebra. We use this relation to obtain new examples of both logarithmic vertex algebras and non-local Poisson vertex algebras. Dedicated to Victor G. Kac on his 80th birthday.
