Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-20
JHEP 0103:031,2001
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, clarifications suggested by referee, plus brief discussion of applications to topological black holes; JHEP version
Scientific paper
10.1088/1126-6708/2001/03/031
Using the generalised AdS/CFT correspondence, we show that there are certain ten-dimensional differentiable manifolds such that string theory on such a manifold is unstable [to the emission of "large branes"] no matter what the metric may be. The instability is thus due to the [differential] topology of the manifold, not to any particular choice of its geometry. We propose a precise criterion for this "topology selection mechanism", and prove it in many cases. The techniques employed may be useful in more general cases.
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