标题： 近极端Kerr-Newman黑洞的对数校正 显示英文标题

标题： Logarithmic Corrections for Near-extremal Kerr-Newman Black Holes

摘要： 本文中，我们利用欧几里得路径积分方法在近地平线几何中计算了近极值Kerr-Newman黑洞在$\mathcal{N}=2$超引力理论中的熵的对数修正。 在近地平线极值Kerr几何中，类似于$AdS_{2} \times S^2 $结构，存在一组与边界时间重新参数化相关的可归一化零模。 由于这些零模的路径积分，欧式近地平线极值Kerr配分函数的一阶近似表现出红外发散。 在近地平线极值Kerr缩放极限下进行主要的有限温度修正，我们控制了这种发散。 将近极值近地平线几何视为极值近地平线几何的微扰，我们通过一种修改后的热核方法确定了这些修正，该方法同时涉及极值和近极值修正，并且对于超引力理论中的带电旋转黑洞而言，在文献中是新颖的。 这一结果应该能够被任何解释黑洞熵的微观理论重现。 显示英文摘要

摘要： In this paper, we have computed the logarithmic corrections of entropy for the near-extremal Kerr-Newman black holes in $\mathcal{N}=2$ supergravity theory applying the Euclidean path integral approach in the near-horizon geometry. In the near-horizon extremal Kerr geometry, analogous to the $AdS_{2} \times S^2 $ structure, there exists a set of normalizable zero modes associated with reparametrizations of boundary time. The one-loop approximation to the Euclidean near-horizon extremal Kerr partition function exhibits an infrared divergence due to the path integral over these zero modes. Carrying out the leading finite temperature correction in the near-horizon extremal Kerr scaling limit, we control this divergence. Considering the near-extremal near-horizon geometry as a perturbation around the extremal near-horizon geometry, we determine these corrections implementing a modified heat kernel approach which involves both the extremal and near-extremal corrections and is novel in the literature for the charged rotating black holes in supergravity theory. This result should be reproduced by any microscopic theory that explains the entropy of the black hole.