论文标题

非苏匹马对称广告的新不稳定性$ _4 $ orientifold actacua

New instabilities for non-supersymmetric AdS$_4$ orientifold vacua

论文作者

Marchesano, Fernando, Quirant, Joan, Zatti, Matteo

论文摘要

我们考虑了表单ADS $ _4 \ times x_6 $的大型IIA Orientifold压缩,其中$ X_6 $允许Calabi-yau公制,并由后台通量进行螺纹。从4D角度来看,通量产生了一个电势,其真空已被分类,包括一个$ \ MATHCAL {n} = 1 $和三个可扰动稳定的$ \ Mathcal {n} = 0 $分支。我们从10D角度重现了该结果,通过与以前对$ \ Mathcal {n} = 1 $分支相同的详细信息求解类型IIA方程。所有解决方案均表现出局部源和参数尺度的分离。然后,我们分析$ \ Mathcal {n} = 0 $分支的非扰动稳定性。我们考虑了新的4D膜,这些膜是从$ x_6 $或D6-BRANES上的D8-BRANES获得的,由非稀释的WorldVolume Fluxes螺纹。使用它们,我们表明所有分支都与膜的弱重力猜想兼容。实际上,大多数Vacua都满足了预测$ \ Mathcal {n} = 0 $设置的superextremal膜的尖锐猜想,除了其非扰动稳定性的子集仍然是一个悬而未决的问题。

We consider massive type IIA orientifold compactifications of the form AdS$_4 \times X_6$, where $X_6$ admits a Calabi-Yau metric and is threaded by background fluxes. From a 4d viewpoint, fluxes generate a potential whose vacua have been classified, including one $\mathcal{N}=1$ and three perturbatively stable $\mathcal{N}=0$ branches. We reproduce this result from a 10d viewpoint, by solving the type IIA equations at the same level of detail as previously done for the $\mathcal{N}=1$ branch. All solutions exhibit localised sources and parametric scale separation. We then analyse the non-perturbative stability of the $\mathcal{N}=0$ branches. We consider new 4d membranes, obtained from wrapping D8-branes on $X_6$ or D6-branes on its divisors, threaded by non-diluted worldvolume fluxes. Using them we show that all branches are compatible with the Weak Gravity Conjecture for membranes. In fact, most vacua satisfy the sharpened conjecture that predicts superextremal membranes in $\mathcal{N}=0$ settings, except for a subset whose non-perturbative stability remains an open problem.

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