论文标题
M理论的全息超导体的内部结构和复杂性生长速率
Interior Structure and Complexity Growth Rate of Holographic Superconductor from M-Theory
论文作者
论文摘要
我们研究了M理论上自上而下的全息超导体的内部动力学。带电的标量头发的凝结必然会去除内部的凯奇（Cauchy Horizon），而时空以空间般的奇异性结束。尽管在临界温度下存在平滑的超导相变，但超导性的发作伴随着复杂的内部动力学，包括爱因斯坦 - 罗森桥的崩溃，凝结物的约瑟夫森振荡和最终的Kasner奇异性。我们通过分析获得不同Kasner时期交替的转换规则。得益于自上而下的理论的非线性耦合，Kasner时代对奇异性的一般无休止的混乱交替。我们使用复杂性和复杂性 - 体积二元性来计算全息复杂性。与后者相反，复杂性二元性的复杂性生长速率在临界温度下具有不连续性，表征了超导相变之前和之后的内部结构的突然变化。
We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the critical temperature, the onset of superconductivity is accompanied by intricate interior dynamics, including the collapse of the Einstein-Rosen bridge, the Josephson oscillations of the condensate, and the final Kasner singularity. We obtain analytically the transformation rule for the alternation of different Kasner epochs. Thanks to the nonlinear couplings of the top-down theory, there is generically a never-ending chaotic alternation of Kasner epochs towards the singularity. We compute the holographic complexity using both the complexity-action and the complexity-volume dualities. In contrast to the latter, the complexity growth rate from the complexity-action duality has a discontinuity at the critical temperature, characterizing the sudden change of the internal structure before and after the superconducting phase transition.
