On the stability and spectrum of non-supersymmetric AdS5 solutions of M-theory compactified on Kahler-Einstein spaces - High Energy Physics - TheoryReport as inadecuate




On the stability and spectrum of non-supersymmetric AdS5 solutions of M-theory compactified on Kahler-Einstein spaces - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: Eleven-dimensional supergravity admits non-supersymmetric solutions of theform AdS5xM6 where M6 is a positive Kahler-Einstein space. We show thatthe necessary and sufficient condition for such solutions to be stable againstlinearized bosonic supergravity perturbations can be expressed as a conditionon the spectrum of the Laplacian acting on 1,1-forms on M6. For M6=CP3,this condition is satisfied, although there are scalars saturating theBreitenlohner-Freedman bound. If M6 is a product S2xM4 where M4 isKahler-Einstein then there is an instability if M4 has a continuousisometry. We show that a potential non-perturbative instability due to 5-branenucleation does not occur. The bosonic Kaluza-Klein spectrum is determined interms of eigenvalues of operators on M6.



Author: Jonathan E. Martin, Harvey S. Reall

Source: https://arxiv.org/







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