We study the volume prescription of the holographic subregion complexity in a holographic 5-dimensional model consisting of Einstein gravity coupled to a scalar field with a non-trivial potential. The dual 4-dimensional gauge theory is not conformal and exhibits a RG flow between two different fixed points. In both zero and finite temperature we show that the holographic subregion complexity can be used as a measure of non-conformality of the model. This quantity exhibits also a monotonic behaviour in terms of the size of the entangling region, like the behaviour of the entanglement entropy in this setup. There is also a finite jump due to the disentangling transition between connected and disconnected minimal surfaces for holographic renormalized subregion complexity at zero temperature.

中文翻译：

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非共形理论中的体积子区域复杂度

我们研究了由爱因斯坦引力耦合到具有非平凡势的标量场组成的全息5维模型中全息次区域复杂性的体积处方。二维4维规范理论不是保形的，并且在两个不同的固定点之间表现出RG流动。在零温度和有限温度下，我们都表明，全息子区域复杂度可以用作模型不符合性的度量。就缠结区域的大小而言，此数量也表现出单调行为，就像在此设置中纠缠熵的行为一样。由于在零温度下全息重新归一化的子区域复杂性，连接的和不连接的最小表面之间的解缠结过渡也导致了有限的跳跃。