德西特泡的体积复杂度
Volume complexity of dS bubbles
AI总结：
该研究针对含德西特泡的渐近AdS几何，分析不同锚定方式下全息体积复杂度的增长行为，揭示了其与纯AdS、纯德西特时空复杂度特性的关联与差异。
摘要：
在arXiv:2109.14104提出的德西特全息静态膜方法框架下，全息复杂度的增长呈现超高速特性，会在有限时间内出现发散，这与反德西特（AdS）时空的情况截然不同——后者的复杂度增长率会渐近趋于恒定值。我们研究了一类内部包含德西特泡的渐近AdS几何中的全息体积复杂度。除静态泡情形外，由仅锚定在AdS边界的光滑极值曲面体积得到的复杂度，表现与AdS情形类似，随时间渐近线性增长。静态泡构型的复杂度增长率为零，对应不连续行为，类似一级相变。若转而考虑同时锚定在AdS边界与德西特拉伸视界的极值曲面，我们发现复杂度增长呈超高速，与德西特情形一致。
英文摘要：
In the framework of the static patch approach to de Sitter holography introduced in [arXiv:2109.14104], the growth of holographic complexity has a hyperfast behaviour, which leads to a divergence in a finite time. This is very different from the AdS spacetime, where instead the complexity rate asymptotically reaches a constant value. We study holographic volume complexity in a class of asymptotically AdS geometries which include de Sitter bubbles in their interior. With the exception of the static bubble case, the complexity obtained from the volume of the smooth extremal surfaces which are anchored just to the AdS boundary has a similar behaviour to the AdS case, because it asymptotically grows linearly with time. The static bubble configuration has a zero complexity rate and corresponds to a discontinuous behaviour, which resembles a first order phase transition. If instead we consider extremal surfaces which are anchored at both the AdS boundary and the de Sitter stretched horizon, we find that complexity growth is hyperfast, as in the de Sitter case.
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