Global stability of spacetimes with supersymmetric compactifications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-11 DOI:10.2140/apde.2023.16.2079

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

引用次数: 0

Abstract

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.

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具有超对称紧化的时空整体稳定性

本文证明了高维闵可夫斯基空间与具有自旋结构和非零平行旋量的紧致rici -平坦黎曼流形的笛卡尔积在真空爱因斯坦方程决定演化的稳定性。这样的产物包括Calabi-Yau和其他特殊的完整紧化的例子，它们在超重力和弦理论中起着核心作用。本文证明的稳定性结果表明，Penrose的不稳定性论证[2003]不适用于局域摄动。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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