Positive Energy Unitary Irreducible Representations of the Superalgebras $osp(1|2n,R)$ and Character Formulae

TL;DR

This paper classifies positive energy unitary irreducible representations of the superalgebras $osp(1|2n,R)$ and provides character formulas, updating previous results and offering a comprehensive list of these representations.

Contribution

It updates and completes the classification of positive energy UIRs of $osp(1|2n,R)$ and derives explicit character formulas for them.

Findings

Full list of positive energy UIRs of $osp(1|2n,R)$

New character formulae for these representations

Updated classification based on previous results

Abstract

We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras $osp(1|2n,R)$. We update previous results and present the full list of these UIRs. We give also some character formulae for these representations.