TY - JOUR
T1 - THE MASS SPECTRUM IN THE SU(3) x U(1) COMPACTIFICATIONS OF d = 11 SUPERGRAVITY
AU - CASTELLANI, Leonardo
N1 - Funding Information:
A classification of the 7-dimensional G/H spaces is given in \[5\]:i f one excludes products with tori, all of them have at least one Einstein metric, and therefore provide solutions for d = 1 1 supergravity \[5\].A s was noted in \[6\],s even dimensions are just enough to accommodate SU(3) x SU(2) x U(1) isometric G/H spaces. These * Work supported in part by the Fleischmann Foundation and by the US Department of Energy contract no. DEAC-03-81-ER40040. t On leave from the Istituto Nazionale di Fisica Nucleare, Universit~ di Torino, Italy. ** A manifold is defined to be Einstein if its Ricci tensor is proportional to its metric tensor. 266
PY - 1985
Y1 - 1985
N2 - We derive the spectrum of the fermionic oscillations around the (anti-de Sitter) × Npqr solutions of d = 11 supergravity, where Npqr are the compact homogeneous spaces SU(3) × U(1)/U(1) × U(1). Since all the Npqr 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 Npqr (N010) solutions, i.e. the gravitational and the Killing vector multiplets. On the N010 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 N010 spaces, in the 8, 10, 10 representations of SU(3).
AB - We derive the spectrum of the fermionic oscillations around the (anti-de Sitter) × Npqr solutions of d = 11 supergravity, where Npqr are the compact homogeneous spaces SU(3) × U(1)/U(1) × U(1). Since all the Npqr 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 Npqr (N010) solutions, i.e. the gravitational and the Killing vector multiplets. On the N010 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 N010 spaces, in the 8, 10, 10 representations of SU(3).
UR - https://iris.uniupo.it/handle/11579/37
M3 - Article
SN - 0550-3213
VL - 254
SP - 266
JO - Nuclear Physics B
JF - Nuclear Physics B
ER -