We demonstrate that AdS5 × Tpq is unstable, in the sense of Breitenlohner and Freedman, for unequal p and q. This settles, negatively, the long-standing question of whether the Tpq manifolds for unequal p and q might correspond to non-supersymmetric fixed points of the renormalization group. We also show that the AdS3 × 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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- AdS/CFT and ds/CFT Correspondence
- Superstring Vacua