Finite irreducible conformal modules over the Lie conformal superalgebra [formula omitted

Abstract

In the present paper, we introduce a class of infinite Lie conformal superalgebras S(p), which are closely related to Lie conformal algebras of extended Block type defined in [6]. Then all finite non-trivial irreducible conformal modules over S(p) for p∈C⁎ are completely classified. As an application, we also present the classifications of finite non-trivial irreducible conformal modules over finite quotient algebras s(n) for n≥1 and sh which is isomorphic to a subalgebra of Lie conformal algebra of N=2 superconformal algebra. Moreover, as a generalized version of S(p), the infinite Lie conformal superalgebras GS(p) are constructed, which have a subalgebra isomorphic to the finite Lie conformal algebra of N=2 superconformal algebra.