Leibniz Conformal Superalgebras

In this thesis,we deal with a ’non-communication’ case:Leibniz conformal superalgebras,as a combination of conformal algebras and Leibniz superalgebras.To begin with,we construct some examples of Leibniz conformal superalgebras,which are not Lie conformal superalgebras.Meanwhile,we classify a special Leibniz conformal superalgebra.Next,we construct Leibniz conformal superalgebras from Leibniz superalgebras and find the correspondence between them.Finally,we study different kinds of generalized conformal derivations of Leibniz conformal super-algebras as well as cohomology and extensions.