Unitary lowest weight representations of the noncompact supergroup OSp(2m*/2n)

Murat Gunaydin, R. J. Scalise

Research output: Contribution to journalArticlepeer-review

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Abstract

The oscillator construction of the unitary lowest weight representations of the noncompact supergroup OSp(2m*/2n) with the even subgroup SO*(2m)USp(2n) is given. Simple rules for determining the SO*(2m)USp(2n) decomposition of the lowest weight representations of OSp(2m*/2n) are derived. The particular examples of OSp(4*/2) with the even subgroup SU(1,1)SU(2)SU(2) and OSp(4*/6) with the even subgroup SU(1,1)SU(2)Usp(6) are studied in greater detail.

Original languageEnglish (US)
Pages (from-to)599-606
Number of pages8
JournalJournal of Mathematical Physics
Volume32
Issue number3
DOIs
StatePublished - Jan 1 1991

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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