Some interesting violations of the Breitenlohner-Freedman bound

Details Some interesting violations of the Breitenlohner-Freedman bound Some interesting violations of the Breitenlohner-Freedman bound

2001-08-31

arxiv.org/abs/hep-th/0108239v2

JHEP 0207 (2002) 044

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex. v2: minor corrections

Scientific paper

10.1088/1126-6708/2002/07/044

We demonstrate that AdS_5 x T^{pq} is unstable, in the sense of Breitenlohner and Freedman, for unequal p and q. This settles, negatively, the long-standing question of whether the T^{pq} manifolds for unequal p and q might correspond to non-supersymmetric fixed points of the renormalization group. We also show that the AdS_3 x S^7 vacuum of Sugimoto's USp(32) open string theory is unstable. This explains, at a heuristic level, the apparent absence of a heterotic string dual.

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