Some interesting violations of the Breitenlohner-Freedman bound
High Energy Physics - Theory
2009-11-07 v2
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.
Cite
@article{arxiv.hep-th/0108239,
title = {Some interesting violations of the Breitenlohner-Freedman bound},
author = {Steven S. Gubser and Indrajit Mitra},
journal= {arXiv preprint arXiv:hep-th/0108239},
year = {2009}
}
Comments
16 pages, latex. v2: minor corrections