多元宇宙中的跨维度隧道
Transdimensional Tunneling in the Multiverse
摘要：
在6维Einstein-Maxwell理论的背景下，研究了不同有效维数真空之间的拓扑变化跃迁。这个理论的图景包括一个$6d$ de Sitter真空（$dS_6$），若干$dS_4 \times S_2$和$AdS_4 \times S_2$真空，以及若干$AdS_2 \times S_4$真空。我们发现，紧化跃迁$dS_6 \to AdS_2 \times S_4$通过带电黑洞对的成核发生，而从$dS_6$到$dS_4 \times S_2$和$AdS_4 \times S_2$的跃迁则通过磁荷球形黑膜的成核发生.我们确定适当的瞬子和描述的时空结构造成膜成核。
英文摘要：
Topology-changing transitions between vacua of different effective dimensionality are studied in the context of a 6-dimensional Einstein-Maxwell theory. The landscape of this theory includes a $6d$ de Sitter vacuum ($dS_6$), a number of $dS_4 \times S_2$ and $AdS_4 \times S_2$ vacua, and a number of $AdS_2 \times S_4$ vacua. We find that compactification transitions $dS_6 \to AdS_2 \times S_4$ occur through the nucleation of electrically charged black hole pairs, and transitions from $dS_6$ to $dS_4 \times S_2$ and $AdS_4 \times S_2$ occur through the nucleation of magnetically charged spherical black branes. We identify the appropriate instantons and describe the spacetime structure resulting from brane nucleation.
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