论文标题
旋转黑洞的全息复杂性与锥形缺陷
Holographic complexity of rotating black holes with conical deficits
论文作者
论文摘要
基于复杂性等于动作（CA）和复杂性等于体积（CV）的猜想，我们研究了大量爱因斯坦重力理论中缓慢加速的Kerr-Ads黑洞的全息复杂性，这是对全息状态双重态与边界量子系统中旋转和圆锥形赤字双重态的双重态度。在获得Wheeler-Dewitt贴片的隐式形式后，我们评估了动作，并表明CA复杂性的生长速率违反了大型黑洞限制的体积缩放公式，这是由于黑洞的不足以贡献了黑洞。此外，在与固定熵，压力和角动量的合奏中，我们还发现，当黑洞接近静态极限时，地层的复杂性随圆锥形缺陷的平均值和差异而降低，但是当黑洞接近极端方案时随着缺陷而增加。
Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to holographic states with rotation and conical deficits in the boundary quantum system. Upon obtaining an implicit form of the Wheeler-DeWitt patch, we evaluate the action and show that the growth rate of the CA complexity violates volume-scaling formulation in large black hole limit due to the non-trivial contribution from the not-too-small acceleration of the black hole. Moreover, in an ensemble with fixed entropy, pressure, and angular momentum, we also find that complexity of formation decreases with both the average and difference of the conical deficits on the poles when the black hole is close to the static limit but increases with the deficits when the black hole is close to the extremal regime.
