Representations of simple finite Lie conformal superalgebras of type W and S

TL;DR

This paper classifies all finite irreducible modules over specific types of Lie conformal superalgebras, namely W and S, providing a comprehensive understanding of their representation theory.

Contribution

It constructs all finite irreducible modules over Lie conformal superalgebras of types W and S, which was previously unknown.

Findings

Complete classification of finite irreducible modules for W and S types

Explicit constructions of these modules

Advancement in understanding Lie conformal superalgebra representations

Abstract

We construct all finite irreducible modules over Lie conformal superalgebras of type W and S.