Positive energy unitary irreducible representations of the superalgebra osp(1|8,R)

2016/07/31 by V. K. Dobrev, Vladimir Dobrev, Igor Salom
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Irreducible representation #Lie superalgebra #Mathematics #Pure mathematics #Superalgebra #Unitary state #math.RT #msc:17B10 #msc:17B35 #msc:81R05

paper · pdf · doi:10.2298/pim161217003d

17 pages, v2: changed format to include figure

openalex publication_date 2016/12/29 · arxiv created 2017/01/24 · arxiv updated 2017/12/08 · openalex created_date 2019/07/30 · openalex updated_date 2026/08/05

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 a proof of the case osp(1|8,R).

Citations

• Supersymmetries and their representations
• All possible generators of supersymmetries of the S-matrix
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R) and Character Formulae