In this paper, we use the complexity equals action proposal and investigate holographic complexity for hyperscaling violating theories on different subregions of space-time enclosed by the null boundaries. We are interested in computing the onshell action for certain subregions of the intersection between the Wheeler DeWitt patch and the past, as well as, the future interior of a two-sided black brane. More precisely, we extend the results of Ref. 1 in parts, to hyperscaling violating geometries and to find the finite onshell action, we define the proper counter terms. We show that in computing the rate of complexification the dynamical exponent plays a crucial rule, but, at the late time, rate of the complexity growth is independent of the hyperscaling parameters.

中文翻译：

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超尺度违反理论中子区域的全息复杂性

在本文中，我们使用复杂性等于行动建议，并研究了全息复杂性，用于违反由零边界包围的不同时空子区域的超尺度理论。我们有兴趣计算 Wheeler DeWitt 斑块与过去交叉点的某些子区域的壳上作用，以及两侧黑色膜的未来内部。更准确地说，我们扩展了参考文献的结果。1部分，为了超尺度违反几何形状并找到有限的onshell动作，我们定义了适当的反项。我们表明，在计算复杂化率时，动态指数起着至关重要的作用，但在后期，复杂性增长的速度与超尺度参数无关。