Lie conformal superalgebras of rank (2 + 1)

TL;DR

This paper classifies Lie conformal superalgebras of rank (2 + 1), determines their automorphism groups, and describes their finite irreducible modules and actions explicitly.

Contribution

It provides a complete classification of rank (2 + 1) Lie conformal superalgebras and their modules, including automorphism groups, which was not previously known.

Findings

Complete classification of rank (2 + 1) Lie conformal superalgebras

Determination of automorphism groups for these superalgebras

Explicit description of finite irreducible modules and their actions

Abstract

In this paper, Lie conformal superalgebras of rank (2 + 1) are completely classified (up to isomorphism) and their automorphism groups are determined. Furthermore, we give the classification of the finite irreducible conformal modules over them and the actions are explicitly described.