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

H. A. Schmitt; P. Halse; B. R. Barrett; A. B. Balantekin

doi:10.1063/1.528504

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

H. A. Schmitt, P. Halse, B. R. Barrett, A. B. Balantekin

Physics

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6 Scopus citations

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
DOIs	https://doi.org/10.1063/1.528504
State	Published - 1989

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.528504

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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.",

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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.

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

Abstract

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