Some Properties Of Vertex Leibniz Algebras

Vertex algebra is an important algebraic structure in conformal field theory and statistical mechanics.At present,in the prime characteristic domain,the number of research results for vertex algebras is less,and the space for further research is more extensive.In this paper,we study the basic properties of Vertex Leibnitz Algebras over prime characteristic fields,and obtain some equivalent definitions of vertex Leibniz algebras by studying the relations between these properties and Jacobi identity.