Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence

Details Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence

2009-11-20

arxiv.org/abs/0911.4060v2

Phys.Rev.D81:066002,2010

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 2 figures; v2 minor improvements, reference added, published version

Scientific paper

10.1103/PhysRevD.81.066002

We propose that there is no analogue of the Breitenlohner-Freedman stability bound on the mass of a scalar field in the context of the nonrelativistic AdS/CFT correspondence. Our treatment is based on an equivalence between the field equation of a complex scalar in the AdS/CFT correspondence and the one-dimensional Schroedinger equation with an inverse square potential. We compute the two-point boundary correlation function for m^2

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