Some interesting violations of the Breitenlohner-Freedman bound

2001/08/31 by Steven S. Gubser, Indrajit Mitra · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/07/044

published as JHEP 0207 (2002) 044 · 16 pages, latex. v2: minor corrections

arxiv created 2002/06/19 · arxiv updated 2009/11/30

Abstract

We demonstrate that AdS₅ 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 AdS₃ x S⁷ 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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