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The Spectrum of D = 11 Supergravity via Harmonic Expansions on S4 X S7
Authors:E. Sezgin
Abstract:We derive the complete particle spectrum of the d = 11 supergravity compactified on AdS X S7, by analytically continuing AdS to S4, and using the Salam-Strathdee method of harmonic expansion on S4 X S7. The spectrum is arranged into supermultiplets labelled by an integer l = 0, 1, 2,. The massless supermultiplet corresponds to l = 0. For the l'th supermultiplet we find a relation, involving the eigenvalues of the second order Casimir operators of SO(3, 2) and SO(8), given by 2C2[SO(3, 2)] + C2[SO(8)] = 3/2(l + 2) (l + 4).
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