标题： 近极端黑洞热力学的准正则修正 显示英文标题

标题： Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics

摘要： 近期对近极端非超对称黑洞量子力学的研究发现了低温度黑洞配分函数的一个特征$T^{3/2}$缩放。 这一结果仅通过在接近视界区域的路径积分推导得出，并依赖于许多假设。 我们讨论如何通过在完整黑洞背景中的计算，利用Denef-Hartnoll-Sachdev（DHS）公式推导出近极端旋转BTZ黑洞的$T^{3/2}$缩放，该公式将热几何的一圈行列式表示为准正则模谱的乘积。 我们还推导了欧几里得BTZ中任意自旋场的谱测度，并用它来提供DHS公式的新的证明以及BTZ热核的新直接推导。 这些计算表明了一种证明渐近平坦4维Kerr黑洞的$T^{3/2}$缩放的路径。 显示英文摘要

摘要： Recent work on the quantum mechanics of near-extremal non-supersymmetric black holes has identified a characteristic $T^{3/2}$ scaling of the low temperature black hole partition function. This result has only been derived using the path integral in the near-horizon region and relies on many assumptions. We discuss how to derive the $T^{3/2}$ scaling for the near-extremal rotating BTZ black hole from a calculation in the full black hole background using the Denef-Hartnoll-Sachdev (DHS) formula, which expresses the 1-loop determinant of a thermal geometry in terms of a product over the quasinormal mode spectrum. We also derive the spectral measure for fields of any spin in Euclidean BTZ and use it to provide a new proof of the DHS formula and a new, direct derivation of the BTZ heat kernel. The computations suggest a path to proving the $T^{3/2}$ scaling for the asymptotically flat 4d Kerr black hole.