In this paper, we investigate the ‘complexity equals action’ conjecture in regular magnetic black holes for the Einstein gravity coupled to the nonlinear electrodynamics. Motivated by the result of the dyonic Reissner–Nordstrom-AdS black hole founded by Goto et al , we first evaluate the complexity for a static regular magnetic black hole and find that the growth rate also vanishes at the late times. This result shows the unexpected features of the late-time growth rate as well as the zero-charge limit. Then, we show how the inclusion of a boundary term for the nonlinear electromagnetic fields to the total action can make the holographic complexity well-defined. The choice of the appropriate boundary term is model-dependent. After introducing these additional boundary terms, we illustrate the full time-dependence of the complexity growth rate in two explicit cases. Finally, we check the Lloyd’s bound for these magnetic regular black holes and find that the late-time rate o...

中文翻译：

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研究规则磁黑洞中的复杂性-等式-猜想

在本文中，我们研究了常规磁黑洞中针对爱因斯坦引力和非线性电动力学的“复杂性等于作用”猜想。受Goto等人建立的强音Reissner–Nordstrom-AdS黑洞的影响，我们首先评估了静态规则磁黑洞的复杂度，发现增长率在后期也消失了。该结果显示了后期增长率的意外特征以及零电荷限制。然后，我们展示了如何将非线性电磁场的边界项包括到总作用中可以使全息复杂性得到很好的定义。合适的边界项的选择取决于模型。在介绍了这些附加的边界项之后，我们说明了两种明显情况下复杂度增长率的全时间依赖性。最后，我们检查了这些磁性规则黑洞的劳埃德定界，发现延迟率...