Some interesting violations of the Breitenlohner-Freedman bound

Abstract

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.

16 pages, latex. v2: minor corrections

References in corpus (2)

• Consistent gravitino couplings in non-supersymmetric strings
• Stability of AdS_p x M_q Compactifications Without Supersymmetry

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