论文标题
涂抹和含糊的KKLT广告真空吸尘器
Smearing and Unsmearing KKLT AdS Vacua
论文作者
论文摘要
D-branes包裹内部周期的仪表凝结具有稳定相关模量的机制。根据有效的现场理论,这会产生与通量相结合的超对称广告$ _4 $解决方案。在本文中,我们提供了这些真空的十维描述。我们首先在广义复杂的几何形状的框架内,在D-Branes上的gaugino冷凝物上找到了II型ADS $ _4 $ _4 $ vacua的超对称方程。然后,我们将它们用于涂抹的D7-BRANES上的Gaugino冷凝物进行IIB类压缩。我们表明,超对称性需要(共形的)卡拉比(Calabi-Yau)歧管和虚构的三型三型通量,并具有附加(0,3)的组件。后者与宇宙常数成正比,宇宙常数的幅度取决于仪表仪的期望值和麸皮包裹的循环的稳定体积。这在定性和定量上证实了使用有效田间理论获得的结果。我们发现,只要三型通量使其(0,3)分量被指数抑制,ADS和KK量表之间的指数分离似乎就可以了。至于本地化解决方案,它需要超越SU(3)结构内部流形。但是,我们证明可以在不依赖这种复杂配置的细节的情况下对动作进行评估。我们发现没有发生“完美的正方形”结构,结果是不同的。我们计算了取消这些发散性所需的四弗里米亚贡献,包括相反的捐款。
Gaugino condensation on D-branes wrapping internal cycles gives a mechanism to stabilize the associated moduli. According to the effective field theory, this gives rise, when combined with fluxes, to supersymmetric AdS$_4$ solutions. In this paper we provide a ten-dimensional description of these vacua. We first find the supersymmetry equations for type II AdS$_4$ vacua with gaugino condensates on D-branes, in the framework of generalized complex geometry. We then solve them for type IIB compactifications with gaugino condensates on smeared D7-branes. We show that supersymmetry requires a (conformal) Calabi-Yau manifold and imaginary self-dual three-form fluxes with an additional (0,3) component. The latter is proportional to the cosmological constant, whose magnitude is determined by the expectation value of the gaugino condensate and the stabilized volume of the cycle wrapped by the branes. This confirms, qualitatively and quantitatively, the results obtained using effective field theory. We find that exponential separation between the AdS and the KK scales seems possible as long as the three-form fluxes are such that their (0,3) component is exponentially suppressed. As for the localized solution, it requires going beyond SU(3)-structure internal manifolds. Nevertheless, we show that the action can be evaluated on-shell without relying on the details of such complicated configuration. We find that no "perfect square" structure occurs, and the result is divergent. We compute the four-fermion contributions, including a counterterm, needed to cancel these divergencies.