Positive Energy Unitary Irreducible Representations of the Superalgebra $\operatorname{osp}(1|8,\mathbb R)$


Vladinir Dobrev, Igor Salom




We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras $\operatorname{osp}(1|2n,\mathbb R)$. We present the full list of these UIRs. We give a proof of the case $\operatorname{osp}(1|8,\mathbb R)$.