TY - JOUR

T1 - Unitary supermultiplets of OSp( 8 4, R) and the spectrum of the S7 compactification of 11-dimensional supergravity

AU - Gunaydin, Murat

AU - Warner, N. P.

PY - 1986/7/14

Y1 - 1986/7/14

N2 - The spectrum of the S7 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 S7 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).

AB - The spectrum of the S7 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 S7 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).

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U2 - 10.1016/0550-3213(86)90342-1

DO - 10.1016/0550-3213(86)90342-1

M3 - Article

AN - SCOPUS:0002981768

VL - 272

SP - 99

EP - 124

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -