论文标题
在卡拉比（Calabi-Yau）和几乎kähler歧管上的一致截断
Consistent truncation on Calabi-Yau and Nearly-Kähler manifolds
论文作者
论文摘要
我们在多个方向上完成并扩展了Arxiv：1903.10504的分析：我们将4D理论放在IIA始终如一的Calabi-yau压实范围的IIA始终截断的形式，与4D $ \ Mathcal {N} = 2 = 2 $ Supergravity的形式一致。我们超越了通用部门，并在有背景通量和费米式冷凝物的情况下，使用$ h^{1,1} = 1 $，$ h^{1,1} = 1 $，$ h^{2,1} \ geq1 $构建IIA的4D有效动作。对于Ale Reveritation Instantons，我们表明假定的四分之一的重力凝结物是非负的，这是4D理论的（正式）Sitter溶液所必需的。我们讨论了将这些正式解决方案推广到成熟的弦乐理论的一些问题。我们还将Arxiv的几乎kähler截断延伸到一个矢量多重组和一个Hypermultiplet的完整骨扇区。
We complete and extend the analysis of arXiv:1903.10504 in several directions: we put the 4d theory, arising from the IIA consistent truncation of the universal sector of Calabi-Yau compactification, in a form manifestly consistent with 4d $\mathcal{N}=2$ supergravity. We go beyond the universal sector and construct the 4d effective action of IIA compactified on Calabi-Yau's with $h^{1,1}=1$, $h^{2,1}\geq1$, in the presence of background flux and fermionic condensates. For ALE gravitational instantons, we show that the putative quartic gravitino condensate is non-negative, as required for the existence of (formal) de Sitter solutions of the 4d theory. We discuss some of the issues in promoting these formal solutions to full-fledged string theory de Sitter solutions. We also extend the Nearly-Kähler consistent truncation of arXiv:1810.06344 to the complete bosonic sector of one vector multiplet and one hypermultiplet.
