An operadic approach to vertex algebra and Poisson vertex algebra cohomology

被引：0
作者：
Bojko Bakalov
Alberto De Sole
Reimundo Heluani
Victor G. Kac
机构：
[1] North Carolina State University,Department of Mathematics
[2] Sapienza Università di Roma,Dipartimento di Matematica
[3] IMPA,Department of Mathematics
[4] Estrada Dona Castorina,undefined
[5] MIT,undefined
来源：
Japanese Journal of Mathematics | 2019年 / 14卷
关键词：
superoperads; chiral and classical operads; vertex algebra and PVA coho-mologies; variational Poisson cohomology; 17B69 (primary); 18D50; 17B65; 17B63; 17B80 (secondary);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomology complex associated to a linear operad produces the vertex algebra cohomology complex. Likewise, the associated graded of the chiral operad leads to the classical operad, which produces a Poisson vertex algebra cohomology complex. The latter is closely related to the variational Poisson cohomology studied by two of the authors.
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页码：249 / 342
页数：93
相关论文
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