Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-15
JHEP 0903:002,2009
Physics
High Energy Physics
High Energy Physics - Theory
21 pages. v2: Includes SU(4) quantum numbers for CP3 case, typos fixed, refs added
Scientific paper
10.1088/1126-6708/2009/03/002
Eleven-dimensional supergravity admits non-supersymmetric solutions of the form AdS(5)xM(6) where M(6) is a positive Kahler-Einstein space. We show that the necessary and sufficient condition for such solutions to be stable against linearized bosonic supergravity perturbations can be expressed as a condition on the spectrum of the Laplacian acting on (1,1)-forms on M(6). For M(6)=CP(3), this condition is satisfied, although there are scalars saturating the Breitenlohner-Freedman bound. If M(6) is a product S(2)xM(4) (where M(4) is Kahler-Einstein) then there is an instability if M(4) has a continuous isometry. We show that a potential non-perturbative instability due to 5-brane nucleation does not occur. The bosonic Kaluza-Klein spectrum is determined in terms of eigenvalues of operators on M(6).
Martin Jonathan E.
Reall Harvey S.
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