2002/01/31 by V. K. Dobrev, V K Dobrev
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #hep-th
paper · pdf · doi:10.1088/0305-4470/35/33/308
published as J.Phys.A35:7079-7100,2002 · 27 pages, TeX with harvmac, amssym.def, amssym.tex; v.2: minor corrections and references added; v.3: minor corrections; v.4: to appear in J. Phys. A
arxiv created 2002/08/06 · openalex publication_date 2002/08/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We give a constructive classification of the positive energy (lowest weight) unitary irreducible representations of the D = 6 superconformal algebras osp (8*/2 N ). Our results confirm all but one of the conjectures of Minwalla (for N = 1, 2) on this classification. Our main tool is the explicit construction of the norms of the states that have to be checked for positivity. We also give the reduction of the four exceptional unitary irreducible representations.