标题： 全息复杂性等于哪个作用量？ 显示英文标题

标题： Holographic Complexity Equals Which Action?

摘要： 我们重新审视了带电黑洞的复杂性$=$动作提案。 我们研究了电磁黑洞的复杂性，并发现一个令人惊讶的特征：晚期增长对电荷与磁荷比值敏感。特别是，当黑洞仅携带磁荷时，晚期增长率为零。 如果电磁黑洞受到轻冲击波的扰动，则切换回效应会出现类似特性，例如，纯磁性黑洞中不存在这种效应。 然后我们展示了如何通过在动作中加入表面项，使电荷和磁荷处于平等地位，或者更一般地改变晚期增长率。 接下来，我们研究了因果结构如何影响具有表面项和无表面项的带电黑洞的晚期增长率，这些黑洞属于爱因斯坦-麦克斯韦-标量理论族。 最后，我们将之前的讨论与二维 Jackiw-Teitelboim 理论的复杂性 = 动作提案联系起来。 由于二维理论是从高维爱因斯坦-麦克斯韦理论在近极端和近视界极限下的维度约化得到的，因此母动作和母背景解的选择决定了二维全息复杂性的行为。 显示英文摘要

摘要： We revisit the complexity$=$action proposal for charged black holes. We investigate the complexity for a dyonic black hole, and we find the surprising feature that the late-time growth is sensitive to the ratio between electric and magnetic charges. In particular, the late-time growth rate vanishes when the black hole carries only a magnetic charge. If the dyonic black hole is perturbed by a light shock wave, a similar feature appears for the switchback effect, e.g., it is absent for purely magnetic black holes. We then show how the inclusion of a surface term to the action can put the electric and magnetic charges on an equal footing, or more generally change the value of the late-time growth rate. Next, we investigate how the causal structure influences the late-time growth with and without the surface term for charged black holes in a family of Einstein-Maxwell-Dilaton theories. Finally, we connect the previous discussion to the complexity=action proposal for the two-dimensional Jackiw-Teitelboim theory. Since the two-dimensional theory is obtained by a dimensional reduction from Einstein-Maxwell theory in higher dimensions in a near-extremal and near-horizon limit, the choices of parent action and parent background solution determine the behaviour of holographic complexity in two dimensions.