论文标题
多中心解决方案的进化算法
Evolutionary algorithms for multi-center solutions
论文作者
论文摘要
在超对称黑洞及其微晶格的研究中，已经构建了大量的多中心超级实力溶液。许多光滑的多中心溶液具有与超对称黑洞相同的电荷，所有中心都深处在黑色孔状的喉咙内。这些配置受到规律性，没有封闭时间曲线和电荷量化的限制。由于这些限制，以通用布置的几个中心构建明确的解决方案，并且在物理相关范围内所有参数都是一项艰巨的任务。在这项工作中，我们提出了一种基于进化算法和贝叶斯优化的优化算法，该算法系统地构建了满足所有约束的数值解决方案。我们展示了新颖的五个中心和七个中心机器精选解决方案的明确例子。
Large classes of multi-center supergravity solutions have been constructed in the study of supersymmetric black holes and their microstates. Many smooth multi-center solutions have the same charges as supersymmetric black holes, with all centers deep inside a long black-hole-like throat. These configurations are constrained by regularity, absence of closed timelike curves, and charge quantization. Due to these constraints, constructing explicit solutions with several centers in generic arrangements, and with all parameters in physically relevant ranges, is a hard task. In this work we present an optimization algorithm, based on evolutionary algorithms and Bayesian optimization, that systematically constructs numerical solutions satisfying all constraints. We exhibit explicit examples of novel five-center and seven-center machine-precision solutions.
