The mass spectrum in the SU(3) × U(1) compactifications of d = 11 supergravity
Abstract
We derive the spectrum of the fermionic oscillations around the (antide Sitter) × N ^{pqr} solutions of d = 11 supergravity, where N ^{pqr} are the compact homogeneous spaces SU(3) × U(1)/U(1) × U(1). Since all the N ^{pqr} backgrounds are supersymmetric, their bosonic spectrum is obtained by using the BoseFermi mass relations recently derived by d'Auria and Fré. We find all the massless modes predicted by the N = 1 ( N = 3) supersymmetry of the N ^{pqr} (N ^{010}) solutions, i.e. the gravitational and the Killing vector multiplets. On the N ^{010} backgrounds, the existence of a harmonic 2form gives rise to an additional massless vector multiplet. Also, extra scalar zeromodes are found on all the N ^{010} spaces, in the 8, 10, overline10 representations of SU(3).
 Publication:

Nuclear Physics B
 Pub Date:
 1985
 DOI:
 10.1016/05503213(85)902202
 Bibcode:
 1985NuPhB.254..266C