We propose a brane‐world setup based on gauge/gravity duality that permits the simultaneous realisation of self‐tuning of the cosmological constant and a stabilisation of the electroweak hierarchy. The Standard Model dynamics including the Higgs sector is confined to a flat 4‐dimensional brane, embedded in a 5‐dimensional bulk whose dynamics is governed by Einstein‐dilaton‐axion gravity. The inclusion of a dynamical bulk axion is new compared to previous implementations of the self‐tuning mechanism. Because of the presence of the axion, the model generically exhibits a multitude of static solutions, with different values for the equilibrium position for the brane. Under mild assumptions regarding the dependence of brane parameters on bulk fields, a number of these solutions exhibit electroweak symmetry breaking with a small Higgs mass as compared to the cutoff‐scale of the brane theory. The realisation of self‐tuning of the cosmological constant is generic and as efficient as in previous constructions without a bulk axion. Vacua with a small Higgs mass can sometimes be found, regardless of whether the brane theory depends explicitly on the bulk axion. Because it is expected on general principles that the brane action will depend on the axion, the generation of solutions with a hierarchy is a robust feature.

中文翻译：

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宇宙常数的自校正和全息弛豫

我们提出了一种基于规范/引力对偶的大脑世界设置，该设置允许同时实现宇宙常数的自调整和电弱层级的稳定。标准模型动力学（包括希格斯部分）被限制在一个扁平的4维骨架中，该骨架嵌入5维块体中，其动力学受爱因斯坦－狄拉顿－轴心引力控制。与以前的自整定机制相比，动态本体轴的加入是新的。由于存在轴突，因此该模型通常会显示大量静态解，其中麸的平衡位置具有不同的值。在关于麸参数对体积场的依赖性的温和假设下，与布恩理论的截断尺度相比，这些解决方案中的许多解决方案都表现出以弱的希格斯质量破坏电弱对称性的问题。宇宙常数自整定的实现是通用的，并且与以前的结构一样有效，而无需使用大体积轴。有时可以发现希格斯质量较小的真空，而不管麸理论是否明确依赖于本体轴。因为根据一般原理可以预期，麸皮动作将取决于轴，所以具有层次结构的解决方案的生成是可靠的功能。不管麸理论是否明确地依赖于本体轴。因为根据一般原理可以预期，麸皮动作将取决于轴，所以具有层次结构的解决方案的生成是可靠的功能。不管麸理论是否明确地依赖于本体轴。因为根据一般原理可以预期，麸皮动作将取决于轴，所以具有层次结构的解决方案的生成是可靠的功能。