Global stability of spacetimes with supersymmetric compactifications

Andersson, Lars; Blue, Pieter; Wyatt, Zoe; Yau, Shing-Tung

doi:10.2140/apde.2023.16.2079

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Global stability of spacetimes with supersymmetric compactifications

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Andersson, Lars
Geometry and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2006.00824.pdf
(プレプリント), 351KB

apde-v16-n9-p04-p.pdf
(出版社版), 2MB

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引用

Andersson, L., Blue, P., Wyatt, Z., & Yau, S.-T. (2023). Global stability of spacetimes with supersymmetric compactifications. Analysis and PDE, 16(9), 2079-2107. doi:10.2140/apde.2023.16.2079.

引用: https://hdl.handle.net/21.11116/0000-0006-A2B1-A

要旨

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.