论文标题

全息图和KKLT场景

Holography and the KKLT Scenario

论文作者

Lüst, Severin, Vafa, Cumrun, Wiesner, Max, Xu, Kai

论文摘要

KKLT场景是弦乐理论中实现DS真空的少数想法之一,它包括两个步骤:第一个步骤涉及构建具有小的负宇宙学常数的超对称广告真空吸尘器,第二个涉及破坏超对称性并抬高能量并提高能量以实现DS。在本文中,我们使用常规全息图来争论为什么不可能完成第一步。我们通过对双重理论的中心荷里构成绑定来获得这一点,该理论涉及将特殊的Lagrangian循环包裹在4倍中。我们发现$ l _ {\ rm ads}^2 \ sillsimχ(CY_4)$。由于$ l _ {\ rm种}^2 \ gtrsimχ(cy_4)$这导致$ l _ {\ rm ads}/l _ {\ rm yss} \ Lessim 1 $以极高的弯曲的ads为导致EFT有效性。

The KKLT scenario, one of the few ideas to realize dS vacua in string theory, consists of two steps: the first involves the construction of a supersymmetric AdS vacuum with a small negative cosmological constant, and the second involves breaking supersymmetry and uplifting the energy to achieve dS. In this paper we use conventional holography to argue why it is not possible to complete the first step. We obtain this by putting a bound on the central charge of the dual theory which involves branes wrapping special Lagrangian cycles in CY 4-folds. We find that $l_{\rm AdS}^2 \lesssim χ(CY_4)$. Since $l_{\rm species}^2\gtrsim χ(CY_4)$ this leads to $l_{\rm AdS}/l_{\rm species}\lesssim 1$ leading at best to a highly curved AdS which is beyond the validity of the EFT.

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