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 (anti-de 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 Bose-Fermi 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 2-form gives rise to an additional massless vector multiplet. Also, extra scalar zero-modes 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:
- 10.1016/0550-3213(85)90220-2
- Bibcode:
- 1985NuPhB.254..266C