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Global stability of
spacetimes with supersymmetric compactifications
Lars Andersson, Pieter Blue, Zoe Wyatt and Shing-Tung Yau |
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Vol. 16 (2023), No. 9, 2079–2107
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Abstract |
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This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of higher-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 result proved in this paper shows that Penrose’s instability argument [2003] does not apply to localised perturbations. |
Keywords
Einstein equation, stability, initial-value problem, SUSY
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Mathematical Subject Classification
Primary: 35L15, 35Q76, 53C25, 83E30
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Milestones
Received: 30 November 2020
Revised: 25 February 2022
Accepted: 25 March 2022
Published: 11 November 2023
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Authors |
| Lars Andersson | |
| Albert Einstein Institute Max–Planck Institute for Gravitational Physics Potsdam Germany |
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| Pieter Blue | |
| School of Mathematics Maxwell Institute for Mathematical Sciences University of Edinburgh Edinburgh United Kingdom |
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| Zoe Wyatt | |
| Department of Pure Mathematics &
Mathematical Statistics Faculty of Mathematics University of Cambridge Cambridge United Kingdom |
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| Shing-Tung Yau | |
| Center of Mathematical Sciences and
Applications Harvard University Cambridge, MA United States |
Yau Mathematical Sciences
Center Tsinghua University Beijing China |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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