We classify the d = 3 anti-de Sitter and d = 2 conformal superalgebras and give a general construction of their positive energy unitary representations. The corresponding supergroups are in general direct products G1 × G2 of two simple supergroups G1 and G2. We study in detail the cases when G1 (and/or G2) is SU(1,1/N) or Osp(2M/2, R).
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics