论文标题
超对称压实的空间的全球稳定性
Global stability of spacetimes with supersymmetric compactifications
论文作者
论文摘要
本文证明了与真空爱因斯坦方程所确定的进化相对于高维Minkowski空间的笛卡尔产物，并具有紧凑的ricci-flat riemannian歧管，该歧管允许旋转结构和非零平行的带子。这样的产品包括Calabi-Yau和其他特殊的全体压缩的示例，这些示例在超级和弦理论中起着核心作用。本文证明的稳定性为Penrose的不稳定论点提供了反对示例。
This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold that admits a spin structure and a nonzero parallel spinor. Such a product includes the example of Calabi-Yau and other special holonomy compactifications, which play a central role in supergravity and string theory. The stability proved in this paper provides a counter example to an instability argument by Penrose.
