从10维视角理解KKLT
Understanding KKLT from a 10d perspective
摘要：
弦论中一些最著名的亚稳态德西特真空的构造，如KKLT提议，涉及到D7膜堆上的高吉诺凝聚和正张力物体的抬升的相互作用。这些结构最近受到了挑战，使用的参数依赖于轨迹反转和集成的10维爱因斯坦方程。我们对这些关切进行了严格的评估。我们首先将积分的10d爱因斯坦方程与10d导出的4d有效势的极值条件联系起来。然后，我们讨论如何获得后者从10维行动，其中包括高吉诺凝聚（最近提出的）明显有限，完美的平方形式。这种有效势能与四维超引力相一致，并且不会对抬升的最小值构成障碍。此外，在标准的近似，我们理解隆起明确在一个流行的版本的集成10维方程。我们的结论是，KKLT型的de Sitter结构不能简单地根据到目前为止所考虑的10维积分方程而被忽略。
英文摘要：
Some of the most well-celebrated constructions of metastable de Sitter vacua from string theory, such as the KKLT proposal, involve the interplay of gaugino condensation on a D7-brane stack and an uplift by a positive tension object. These constructions have recently been challenged using arguments that rely on the trace-reversed and integrated 10d Einstein equation. We give a critical assessment of such concerns. We first relate an integrated 10d Einstein equation to the extremization condition for a 10d-derived 4d effective potential. Then we argue how to obtain the latter from a 10d action which incorporates gaugino condensation in a (recently proposed) manifestly finite, perfect-square form. This effective potential is consistent with 4d supergravity and does not present obstacles for an uplifted minimum. Moreover, within standard approximations, we understand the uplift explicitly in one of the popular versions of the integrated 10d equation. Our conclusion is that de Sitter constructions of the KKLT type cannot be dismissed simply based on the integrated 10d equations considered so far.
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