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.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics