论文标题
没有什么真正重要的
Nothing really matters
论文作者
论文摘要
我们在任意维度的宇宙学常数中研究了AD时空的非扰动不稳定性。在这个简单的设置中，我们明确构建了一类引力intantons，概括了维滕的泡沫。我们计算相应的欧几里得动作，并表明其变化是有限的。这些气泡的膨胀是通过背景时空的非紧密叶片内的较低维度的几何形状来描述的。此外，我们讨论了协变量恒定的旋转器的存在，这是发生这种衰减的可能拓扑阻塞。在弦理论中，这种机制进一步与超对称真空的稳定性有关。
We study non-perturbative instabilities of AdS spacetime in General Relativity with a cosmological constant in arbitrary dimensions. In this simple setup we explicitly construct a class of gravitational instantons generalizing Witten's bubble of nothing. We calculate the corresponding Euclidean action and show that its change is finite. The expansion of these bubbles is described by a lower-dimensional de Sitter geometry within a non-compact foliation of the background spacetime. Moreover we discuss the existence of covariantly constant spinors as a possible topological obstruction for such decays to occur. This mechanism is further connected to the stability of supersymmetric vacua in string theory.
