Positive Energy Unitary Irreducible Representations of the Superalgebra osp(1|8,R)

TL;DR

This paper classifies all positive energy unitary irreducible representations of the superalgebra osp(1|8,R), providing a complete list and proof for this specific case, advancing the understanding of superalgebra representations.

Contribution

It offers the full classification and proof of positive energy UIRs of osp(1|8,R), extending previous work on superalgebra representations.

Findings

Complete list of positive energy UIRs of osp(1|8,R)

Proof of the classification for osp(1|8,R)

Advancement in superalgebra representation theory

Abstract

We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras osp(1|2n,R). We present the full list of these UIRs. We give the Proof of the case osp(1|8,R).