Using the “complexity equals action” (CA) conjecture, for an ordinary charged system, it has been shown that the late-time complexity growth rate is given by a difference between the value of ${\mathrm{\Phi }}_{H}Q+{\mathrm{\Omega }}_{H}J$ on the inner and outer horizons. In this paper, we investigate the complexity of the boundary quantum system with conical deficits. From the perspective of holography, we consider charged accelerating black holes which contain conical deficits on the north and south poles in the bulk gravitational theory and evaluate the complexity growth rate using the CA conjecture. As a result, the late-time growth rate of complexity is different from the ordinary charged black holes. It implies that complexity can carry the information of conical deficits on the boundary quantum system.

使用“复杂性等于行动”（CA）猜想，对于一个普通的带电系统，已经表明后期复杂性增长率由 ${\mathrm{\Phi }}_H问+{\mathrm{\Omega }}_{H}J$在内部和外部地平线上。在本文中，我们研究了具有锥形缺陷的边界量子系统的复杂性。从全息学的角度，我们考虑了体引力理论中在北极和南极包含锥形缺陷的带电加速黑洞，并使用CA猜想评估了复杂性增长率。因此，复杂性的后期增长率与普通带电黑洞不同。这意味着复杂性可以携带边界量子系统上的锥形赤字信息。