Classification of simple Harish-Chandra modules over the N=1 Ramond algebra

TL;DR

This paper introduces a new approach to classify all simple Harish-Chandra modules over the N=1 Ramond algebra using A-cover theory, advancing understanding in representation theory of superalgebras.

Contribution

The paper applies A-cover theory to classify simple Harish-Chandra modules over the N=1 Ramond algebra, providing a novel method in superalgebra representation theory.

Findings

Complete classification of simple Harish-Chandra modules achieved

New application of A-cover theory to superalgebra modules

Enhanced understanding of N=1 Ramond algebra representations

Abstract

In this paper, we give a new approach to classify all simple Harish-Chandra modules for the N=1 Ramond algebra based on the so called A-cover theory developed in \cite{BF}