论文标题
复杂性通过复制技巧
Complexity via Replica Trick
论文作者
论文摘要
我们考虑了一个由世界末日的勃兰人建模的单面广告黑洞的复杂性。此外，我们介绍了这种设置的多边界分区函数和物质相关功能。我们使用对应于JT重力中“淬灭的大地长度”的修改复制技巧来计算复杂性。复杂性的后期行为显示了线性增长期之后的顺序$ e^{s_0} $的恒定值的饱和度。此外，我们表明我们的方法会导致复杂性差异的改善结果，即在晚期不依赖时间独立。我们通过评论引入动态末端的麸皮来得出结论。
We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition, we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity using a modified replica trick corresponding to the "quenched geodesic length" in JT gravity. The late-time behaviour of complexity shows a saturation to a constant value of order $e^{S_0}$ following a period of linear growth. Furthermore, we show that our approach leads to an improved result for the variance of complexity, namely it being time-independent at late times. We conclude by commenting on the introduction of dynamical end-of-the-world branes.
