Unitary Supermultiplets of Osp(8/4,r) and the Spectrum of the S(7) Compactification of Eleven-dimensional Supergravity

Gunaydin, M.; Warner, N.P.

doi:10.1016/0550-3213(86)90342-1

Unitary Supermultiplets of Osp(8/4,r) and the Spectrum of the S(7) Compactification of Eleven-dimensional Supergravity

M. Gunaydin
(
- Caltech
)
,
N.P. Warner
(
- Caltech
)

May, 1985

26 pages

Published in:

Nucl.Phys.B 272 (1986) 99-124

Published: 1986

DOI:

10.1016/0550-3213(86)90342-1

Report number:

CALT-68-1202

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Abstract: (Elsevier)

The spectrum of the S 7 compactification of 11-dimensional supergravity is constructed very simply by using the oscillator method. The spectrum consists of a special class of positive energy unitary irreducible representations (UIR's) of the N = 8 anti-de Sitter supergroup OSp ( 8 4 , R ) . This class of UIR's correspond to the short supermultiplets whose spin range is 2. The ultra-short supermultiplet, the singleton, whose spin range is 1 2 has no Poincaré limit and does not occur in the spectrum. The method described here can be used to obtain all positive energy unitary supermultiplets of OSp ( 8 4 , R ) and not just those that arise in the S 7 compactification. In addition, the oscillator method can be used to obtain the positive energy UIR's of the non-compact supergroups OSp ( 2n 2m , R ) , OSp ( 2n ∗ 2m ) and SU (n, m p ) .

SUPERGRAVITY: ELEVEN-DIMENSIONAL
FIELD THEORY: compactification
FIELD THEORY: DE SITTER
SUPERSYMMETRY: MULTIPLET
MULTIPLET: SUPERSYMMETRY
SYMMETRY: OSP(8/4,R)
SYMMETRY: SO(3,2)
MASS SPECTRUM
GROUP THEORY: REPRESENTATION
MODEL: OSCILLATOR

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