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- Title
Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras.
- Authors
Bakalov, Bojko; Villarreal, Juan J.
- Abstract
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.
- Subjects
POISSON algebras; VERTEX operator algebras; CONFORMAL field theory; VECTOR spaces; SYSTEMS theory; ALGEBRAIC field theory; ALGEBRA
- Publication
Communications in Mathematical Physics, 2023, Vol 404, Issue 1, p185
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-023-04839-x