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

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

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)2714-2720
Number of pages7
JournalJournal of Mathematical Physics
Volume30
Issue number11
StatePublished - 1989

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Series Representation
Superalgebra
Lowest
Generator
Decomposition
Decompose
low weight
state vectors
generators
decomposition

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

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

In: Journal of Mathematical Physics, Vol. 30, No. 11, 1989, p. 2714-2720.

Research output: Contribution to journalArticle

Schmitt, H. A. ; Halse, P. ; Barrett, Bruce R ; Balantekin, A. B. / Positive discrete series representations of the noncompact superalgebra Osp(4/2,R). In: Journal of Mathematical Physics. 1989 ; Vol. 30, No. 11. pp. 2714-2720.
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