Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras

被引：0
|
作者：
Bakalov, Bojko [1 ]
Villarreal, Juan J. [2 ]
机构：
[1] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 404卷 / 01期
基金：
英国科研创新办公室;
关键词：
D O I：
10.1007/s00220-023-04839-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Logarithmic vertex algebras were introduced in our previous paper, motivated by logarithmic conformal field theory (Bakalov and Villarreal in Logarithmic vertex algebras, 2022). Non-local Poisson vertex algebras were introduced by De Sole and Kac, motivated by the theory of integrable systems (De Sole and Kac in Jpn J Math 8:233-347, 2013). 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.
引用
收藏
页码：185 / 226
页数：42
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