发表机构
Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University; RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS); Inamori Research Institute for Science; Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo（京都大学 引力物理与量子信息中心、汤川理论物理研究所; 理化学研究所 跨学科理论与数学科学中心 (iTHEMS); 稻盛科学技术研究所; 东京大学 理学研究科 早期宇宙研究中心 (RESCEU)）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文发展AdS$_3$中端世界膜的有效理论，实现慢滚暴胀并重建标量势，分析扰动无指数增长。
AI 中文摘要
我们发展了一种嵌入AdS$_3$中的二维宇宙学端世界膜的有效描述，膜上局域化了一个标量场。通过积掉体自由度，特别是在小梯度区域，有效作用量约化为与膜标量耦合的类刘维尔理论。随后我们构造了膜轨迹，其诱导几何实现慢滚暴胀，并重建了相应的标量轮廓和势能。我们还研究了正则欧几里得膜几何，这些几何允许平滑延拓到洛伦兹德西特和暴胀宇宙，并评估了德西特解的半经典在壳作用量。最后，我们分析了线性化的非均匀扰动，在近似的有效范围内未发现指数增长模式。
英文摘要
We develop an effective description of a two-dimensional cosmological end-of-the-world brane embedded in AdS$_3$, with a scalar field localized on the brane. Integrating out bulk degrees of freedom, especially in the small-gradient regime, the effective action reduces to a Liouville-like theory coupled to the brane scalar. We then construct brane trajectories whose induced geometry realizes slow-roll inflation and reconstruct the associated scalar profile and potential. We also study regular Euclidean brane geometries that admit a smooth continuation to Lorentzian de Sitter and inflationary universes, and evaluate the semiclassical on-shell action for the de Sitter solution. Finally, we analyze linearized inhomogeneous perturbations and find no exponentially growing mode within the regime of validity of the approximation.
Comments30 pages + appendix, 5 figures
