### 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) |
---|---|

Pages (from-to) | 2714-2720 |

Number of pages | 7 |

Journal | Journal of Mathematical Physics |

Volume | 30 |

Issue number | 11 |

State | Published - 1989 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*30*(11), 2714-2720.

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

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 30, no. 11, pp. 2714-2720.

}

TY - JOUR

T1 - Positive discrete series representations of the noncompact superalgebra Osp(4/2,R)

AU - Schmitt, H. A.

AU - Halse, P.

AU - Barrett, Bruce R

AU - Balantekin, A. B.

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=16644380446&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=16644380446&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:16644380446

VL - 30

SP - 2714

EP - 2720

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -