Some Generalized Vertex Algebras Over Fields Of Prime Characteristic

Vertex algebra is closely related to conformal field theory and string theory.Vertex algebra over fields of prime characteristic is an increasingly active research field in recent years.In this paper,we study some classes of generalized vertex algebras over fields of prime characteristic,some basic properties of vertex Leibniz algebras,vacuum-free vertex algebras and vertex algebras without vacuum and the relationship among them and vertex algebras.