Instability by Chern-Simons and/or Transgressions
arXiv:1006.1425 · doi:10.1007/JHEP09(2010)112
Abstract
It was demonstrated recently that there is an upper bound of the Chern-Simons coupling of the five-dimensional Einstein-Maxwell theory, beyond which the electrically charged AdS_2 \times S^3 vacuum solution becomes unstable. We generalize the result to a general class of gravity theories involving Chern-Simons and/or transgression terms and find their upper bounds for stability. We show that supergravities with AdS \times Sphere vacua satisfy the bounds.
18 pages, no figures, revised version to appear in JHEP