Instability by Chern-Simons and/or Transgressions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, no figures, revised version to appear in JHEP

Scientific paper

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.

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