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Left-symmetric conformal algebras and vertex algebras.
- Source :
-
Journal of Pure & Applied Algebra . Aug2015, Vol. 219 Issue 8, p3543-3567. 25p. - Publication Year :
- 2015
-
Abstract
- A vertex algebra is an algebraic counterpart of a two-dimensional conformal field theory. By an equivalent characterization of vertex algebra using Lie conformal algebra and left-symmetric algebra given by Bakalov and Kac in [3] , in studying vertex algebra, we have to deal with such a question: Do there exist compatible left-symmetric algebra structures on a class of special Lie algebras named formal distribution Lie algebras? In this paper, we study this question. We introduce the definitions of left-symmetric conformal algebra and Novikov conformal algebra. Many examples of these algebras are obtained. As an application, we present a construction of vertex algebra using left-symmetric conformal algebra. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 219
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 101941944
- Full Text :
- https://doi.org/10.1016/j.jpaa.2014.12.012