### Abstract

Some physically realizable positive discrete series representations of the noncompact orthosymplectic superalgebra Osp(4/2,R) are considered. The decomposition of these Osp(4/2,R) representations on reduction to Sp(2,R)XSO(4) is studied in detail, and the corresponding state vectors are explicitly constructed by acting with the generators on a general lowest weight state. Some examples are given to illustrate these results for particular single-particle spaces.

Original language | English (US) |
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Pages (from-to) | 2714-2720 |

Number of pages | 7 |

Journal | Journal of Mathematical Physics |

Volume | 30 |

Issue number | 11 |

DOIs | |

State | Published - Jan 1 1989 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Schmitt, H. A., Halse, P., Barrett, B. R., & Balantekin, A. B. (1989). Positive discrete series representations of the noncompact superalgebra Osp(4/2,R).

*Journal of Mathematical Physics*,*30*(11), 2714-2720. https://doi.org/10.1063/1.528504