论文标题

非线性充电Lifshitz黑洞的全息复杂性

Holographic complexity for nonlinearly charged Lifshitz black holes

论文作者

Zhu, Kai-Xin, Shu, Fu-Wen, Du, Dong-Hui

论文摘要

使用“复杂性=动作”提案,我们研究了带有单个地平线或两个视野的非线性带电Lifshitz黑洞的全息复杂性的晚期增长率。作为玩具模型,我们考虑了两种这样的黑洞:非线性带电的Lifshitz黑洞和非线性对数带电的Lifshitz Black Hole。我们发现,对于具有两个视野的黑洞,就满足了动作生长结合。但是,对于具有单个视野的黑洞,是否违反了劳埃德界限,取决于无量纲耦合常数的特定值$β_{1},β_{2} $,时空尺寸$ d $和动态指数$ z $。

Using "complexity=action" proposal we study the late time growth rate of holographic complexity for nonlinear charged Lifshitz black hole with a single horizon or two horizons. As a toy model, we consider two kinds of such black holes: nonlinear charged Lifshitz black hole and nonlinear logarithmic charged Lifshitz black hole. We find that for the black hole with two horizons, the action growth bound is satisfied. But for the black hole with a single horizon, whether the Lloyd bound is violated depends on the specific value of dimensionless coupling constants $β_{1},β_{2}$, spacetime dimension $D$ and dynamical exponent $z$.

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