2001/01/31 by Brett McInnes
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2001/03/031
published as JHEP 0103:031,2001 · 24 pages, clarifications suggested by referee, plus brief discussion of applications to topological black holes; JHEP version
openalex publication_date 2001/03/20 · arxiv created 2001/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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.