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

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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

Access to Document

10.1063/1.529401

Cite this

@article{4c3e66cbb187483c89fbd1e7ae7cb67b,

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

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.",

author = "M. Gunaydin and Scalise, {R. J.}",

year = "1991",

month = mar,

doi = "10.1063/1.529401",

language = "English (US)",

volume = "32",

pages = "599--606",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics Publising LLC",

number = "3",

}

TY - JOUR

T1 - Unitary lowest weight representations of the noncompact supergroup OSp(2m*/2n)

AU - Gunaydin, M.

AU - Scalise, R. J.

PY - 1991/3

Y1 - 1991/3

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.

UR - http://www.scopus.com/inward/record.url?scp=33744743442&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744743442&partnerID=8YFLogxK

U2 - 10.1063/1.529401

DO - 10.1063/1.529401

M3 - Article

AN - SCOPUS:33744743442

SN - 0022-2488

VL - 32

SP - 599

EP - 606

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this