论文标题
在世界末日：当地的动态率主义
At the End of the World: Local Dynamical Cobordism
论文作者
论文摘要
Coobordism猜想指出，任何量子重力构型在拓扑层面上都承认了边界结束时空。我们研究了共同体的动力学实现，这是爱因斯坦重力的时空依赖性解决方案，并结合了包含这种世界末世界“ branes”的标量。后者在有效的时空距离上作为奇异性出现在标量距离无限田间空间距离处的奇异性。我们提供了近端麸皮附近的局部描述，其中解决方案大大简化了，并以关键指数为特征，该指数控制着磁场的渐近谱以及与奇数距离，场空间距离，场地距离和空间曲线之间的空间距离之间的普遍比例关系。该分析不依赖于超对称性。我们研究了弦理论中这种局部动力学的许多明确示例，包括10d大量IIA，10D非苏联对称$ usp（32）$理论，毫无意义的气泡，4D $ \ MATHCAL {N} = 1 $ cesmic cosmic string solutions孔。我们的框架涵盖了最近的各种设置，在这些设置中，标量在缺陷的核心方面差异，将它们视为合适的世界末日麸皮。我们探讨了局部动力学的相互作用与距离的猜想和其他滚动限制的相互作用。
The Cobordism Conjecture states that any Quantum Gravity configuration admits, at topological level, a boundary ending spacetime. We study the dynamical realization of cobordism, as spacetime dependent solutions of Einstein gravity coupled to scalars containing such end-of-the-world "branes". The latter appear in effective theory as a singularity at finite spacetime distance at which scalars go off to infinite field space distance. We provide a local description near the end-of-the-world branes, in which the solutions simplify dramatically and are characterized in terms of a critical exponent, which controls the asymptotic profiles of fields and the universal scaling relations among the spacetime distance to the singularity, the field space distance, and the spacetime curvature. The analysis does not rely on supersymmetry. We study many explicit examples of such Local Dynamical Cobordisms in string theory, including 10d massive IIA, the 10d non-supersymmetric $USp(32)$ theory, Bubbles of Nothing, 4d $ \mathcal{N}=1 $ cosmic string solutions, the Klebanov-Strassler throat, D$p$-brane solutions, brane configurations related to the D1/D5 systems, and small black holes. Our framework encompasses diverse recent setups in which scalars diverge at the core of defects, by regarding them as suitable end-of-the-world branes. We explore the interplay of Local Dynamical Cobordisms with the Distance Conjecture and other swampland constraints.
