The formalism of spherical harmonics for coset spaces is used to obtain the complete mass spectrum of the bosonic excitations around a class of vacuum solutions of d=11 supergravity in which the internal space is a coset manifold and the three-index photon is given by the Freund-Rubin ansatz (1978). The mass formula is given in terms of the eigenvalues of the invariant operators on the internal space.
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Castellani et al. (1984) studied this question.
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