论文标题
IIA类型广告的各个方面$ _4 $ orientifold真空
Aspects of type IIA AdS$_4$ orientifold vacua
论文作者
论文摘要
在本论文中，我们探讨了IIA型Erientifold（CY）的真空结构（CY）的压实，从4D和10D角度来看。 首先，我们审查使用通量的IIA Calabi-yau Erientifold压缩。我们考虑RR和NSN磁通量，然后添加（非）几何通量。我们回想起如何将潜力写为双线性表达，并回顾涉及这些情况的主要弹道猜想。 建立基础知识后，我们将直接使用4D动作对真空吸尘器进行系统搜索。我们首先将重点放在RR和NSN磁通量的情况下，然后通过包括几何通量来重复同一游戏。我们发现了几个Susy和无味广告的家庭$ _4 $ vacua。我们检查了哪个是（扰动）稳定的，哪些具有分离量表。 然后，我们从10D角度分析了4D有效理论中得出的Susy Vacua。我们评论除非O6飞机被涂抹，否则不存在如何提升到$ su（3）$结构歧管。我们超越了这种近似值，并在$ su（3）\ times su（3）$歧管中寻找振奋，仅考虑RR和NSNS通量的情况。为此，我们以$ g_s $的方式扩展了运动方程。在零命令下，我们恢复涂抹近似。我们在一阶中解决了扩展，其中考虑了O6-planes的局部性质。 我们使用相同的机械来研究某些非烦人真空族的非扰动稳定性，仅RR和NSN磁通量。根据弱重力猜想的精致版本，频谱中应有$ q> t $的膜，从而触发其衰减。我们看到，D8 Branes将内部歧管与D6 Branes结束，可以满足这一要求。 我们结束了所有结果，并对哪些问题仍在打开。
In this thesis we explore the vacua structure of type IIA orientifold (CY) compactifications with fluxes, from the 4d and the 10d point of view. We start by reviewing type IIA Calabi-Yau orientifold compactifications with fluxes. We consider RR and NSNS fluxes, and then add (non)-geometric fluxes. We recall how the potential can be written as a bilinear expression and review the main swampland conjectures involving these scenarios. Once the basics have been setted, we perform a systematic search of vacua, using directly the 4d action. We focus first on the case with RR and NSNS fluxes and then repeat the same game by including geometric fluxes. We find several families of SUSY and non-SUSY AdS$_4$ vacua. We check which of them are (perturbatively) stable and which have separation of scales. We then analyse from the 10d perspective the SUSY vacua derived in the 4d effective theory. We comment on how an uplift to $SU(3)$ structure manifolds does not exist unless the O6 planes are smeared. We go beyond this approximation and look for an uplift in $SU(3)\times SU(3)$ manifolds, considering only the case with RR and NSNS fluxes. To do so, we expand the equations of motion in terms of $g_s$. At zeroth order we recover the smearing approximation. We solve the expansion at first order, where the localised nature of the O6-planes is taken into account. We use the same machinery to study the non-perturbative stability of some of the families of non-SUSY vacua with only RR and NSNS fluxes. According to a refined version of the weak gravity conjecture, there should be membranes in the spectrum with $Q > T$, triggering its decay. We see that D8 branes wrapping the internal manifold with D6 branes ending on them can satisfy this requirement. We finish by recapping all the results and making some comments about which questions are still open.
