Topologically Induced Instability in String Theory

Abstract

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.

24 pages, clarifications suggested by referee, plus brief discussion of applications to topological black holes; JHEP version

References in corpus (2)

• Large Extra Dimensions and Cosmological Problems
• Quantum Gravity at the Turn of the Millennium

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