标题： 紧致化在卡拉比-丘三折叠上：一致约化到纯超引力 显示英文标题

标题： Compactification on Calabi-Yau threefolds: Consistent truncation to pure supergravity

摘要： 我们研究了十一维和十维极大超引力在卡拉比-丘三-fold上的紧致化。我们明确构造了截断到五维和四维纯超引力的八重荷情形，并证明这些截断是一致的，即每个低维运动方程的解都完全解决了高维的运动方程。此外，我们匹配了超对称变换，并且证明了在费米子方面的一致性直至全非线性阶。我们的构造独立于卡拉比-丘三-fold的选择，只涉及诸如凯勒形式和全纯三-form等普遍结构，这与广义几何文献中的隐式构造一致。作为直接应用，我们将四维极端黑洞嵌入到高维超引力中。此外，我们提出了所有普遍结构上一致截断的假设，导致具有额外物质多重态的超引力。附录提供了各种超引力理论的运动方程和超对称变换的详尽列表。 显示英文摘要

摘要： 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 K\"ahler 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 Ans\"atze 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.