德国电子同步加速器DESY的Torben Skrzypek团队研究了卡拉比-丘三重压缩：一致截断为纯超引力。2025年3月27日，《高能物理杂志》发表了这一成果。

课题组研究了卡拉比-丘三重上11维和10维最大超引力的紧致化。他们明确地构造了纯超引力的截断，在五维和四维中有八个超引力，并证明了它们是一致的，即低维运动方程的每个解都完全解出了高维的运动方程。研究组进一步匹配了超对称变换，并证明了费米子中完全非线性有序的一致性。

该构造独立于卡拉比-丘三重结构的选择，只涉及科勒形式和全纯三重形式等普遍结构，这与广义几何文献中的隐含构造是一致的。作为一个直接的应用，他们将四维极值黑洞嵌入到高维超引力中。此外，还提出Anstze对所有宇宙结构进行一致截断，从而产生具有额外物质倍数的超引力。附录中提供了各种超引力理论的运动方程和超对称变换的广泛列表。

附：英文原文

Title: Compactification on Calabi-Yau threefolds: consistent truncation to pure supergravity

Author: Lin, Jieming, Skrzypek, Torben, Stelle, K. S.

Issue&Volume: 2025-03-27

Abstract: We study compactifications of eleven- and ten-dimensional maximal supergravity on Calabi-Yau threefolds. We explicitly construct truncations to pure supergravity with eight supercharges in five and four dimensions and show that they are consistent, i.e. that every solution of the lower-dimensional equations of motion fully solves the higher-dimensional ones. We furthermore match the supersymmetry transformations and demonstrate the consistency to full non-linear order in fermions. Our construction is independent of the choice of Calabi-Yau threefold and only involves the universal structures such as the Khler form and the holomorphic three-form, in agreement with implicit constructions in the generalised geometry literature. As an immediate application, we embed four-dimensional extremal black holes in the higher-dimensional supergravities. We furthermore propose Anstze for consistent truncations on all universal structures, leading to supergravities with additional matter multiples. An extensive list of equations of motion and supersymmetry transformations for various supergravity theories is provided in the appendix.

DOI: 10.1007/JHEP03(2025)200

Source: https://link.springer.com/article/10.1007/JHEP03(2025)200