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

M. Gunaydin; R. J. Scalise

doi:10.1063/1.529401

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

M. Gunaydin, R. J. Scalise

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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 language	English (US)
Pages (from-to)	599-606
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	32
Issue number	3
DOIs	https://doi.org/10.1063/1.529401
State	Published - Mar 1991

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.529401

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N2 - 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.

AB - 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.

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

Abstract

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