论文标题
关于超对称JT重力中复杂度的延迟时间增长的饱和
On the saturation of late-time growth of complexity in supersymmetric JT gravity
论文作者
论文摘要
在这项工作中，我们使用ARXIV：2205.01150中提出的修改后的副本技巧来计算使用$ {\ cal n} = 1 $和$ {\ cal n} = 2 $ supersymmetries的jt Gravity的复杂性迟到。对于$ {\ cal n} = 1 $理论，我们计算由``淬灭的地理长度''定义的复杂性的晚期行为，并获得时间$ t \ sim e^{s_0} $的预期复杂性的预期饱和度，以持续的价值在时间独立上的不变价值。但是，我们的迟到的复杂性。
In this work we use the modified replica trick, proposed in arXiv:2205.01150, to compute the late time behaviour of complexity for JT gravity with ${\cal N} = 1$ and ${\cal N} = 2$ supersymmetries. For the ${\cal N} = 1$ theory, we compute the late time behaviour of complexity defined by the ``quenched geodesic length" and obtain the expected saturation of complexity at time $t \sim e^{S_0}$, to a constant value with time-independent variance. For the ${\cal N} = 2$ theory, we explicitly compute complexity at the disk level which yields the late-time linear growth of complexity. However, we comment on the expectation of the late-time saturation by speculating the trumpet partition function and the non-perturbative corrections to the spectral correlation, relevant for the late-time behaviour of complexity. Furthermore, we compute the matter correlation functions for both the theories.
