arXiv 2203.112402022-03hep-th

在世界的尽头：局部动态协同主义

At the End of the World: Local Dynamical Cobordism

Roberta Angius, José Calderón-Infante, Matilda Delgado, Jesús Huertas, Angel M. Uranga

备注：: 42 pages + appendices
DOI：: 10.1007/JHEP06(2022)142

摘要：

余论猜想指出，任何量子引力组态在拓扑层次上都有一个边界终结时空。我们研究的动力学实现的协边，爱因斯坦引力耦合标量包含这样的世界末日的“膜”的时空相关的解决方案。后者在有效理论中表现为有限时空距离处的奇点，标量在此点处变为无限场空间距离。我们提供了一个本地的描述附近的世界末日膜，其中的解决方案大大简化，其特征在于在一个临界指数，它控制的渐近配置文件的字段和普遍的时空距离之间的标度关系的奇异性，字段的空间距离，和时空曲率。这种分析并不依赖于超对称性。我们研究了弦论中这种局域动力学协律的许多明确例子，包括10维大质量IIA、10维非超对称$USp(32)$理论、空泡、4维$ \mathcal{N}=1 $宇宙弦解、Klebanov-Strassler喉、D $p$ -膜解、与D1/D5系统相关的膜构型以及小黑洞。我们的框架包含了最近的各种设置，其中标量在缺陷的核心处发散，将它们视为合适的世界末日膜。我们探讨的相互作用的本地动态协ordisms的距离猜想和其他沼泽地的限制。

英文摘要：

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.

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