Explicit Reduction of Spl(1,2) to Osp(1,2) as a Simplified Model for Applications of Supersymmetry to Nuclear Physics

摘要

The reduction of irreducible representations of the superalgebra spl(1,2) to the supsuperalgebra osp(1,2) is given explicitly. The oscillator representations are discussed in detail and their relevance for nuclear physics is outlined by a simple model containing three groundstate nuclei. Our results have important implications on a recently suggested mechanism for the symmetry breaking of spl(6,2m) via osp. (ERA citation 10:050371)