On the stability and spectrum of non-supersymmetric AdS5 solutions of M-theory compactified on Kähler-Einstein spaces
نویسنده
چکیده
Eleven-dimensional supergravity admits non-supersymmetric solutions of the form AdS5 × M6 where M6 is a positive Kähler-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 M6. ForM6 = CP , this condition is satisfied, although there are scalars saturating the BreitenlöhnerFreedman bound. If M6 is a product S 2 × M4 (where M4 is Kähler-Einstein) then there is an instability if M4 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 M6.
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