发表机构
Indian Institute of Science Education and Research Bhopal; International Centre for Theoretical Sciences - TIFR Bengaluru（印度科学教育研究所博帕尔分校; 理论科学国际中心 - 提弗尔大学班加罗尔）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对三维、四维、五维近极端旋转黑洞，重点研究旋转零模式，计算其熵的对数修正，结果与BTZ黑洞微观描述一致，还发现极端情况下熵存在额外的log ℓ修正，明确构造五维BMPV黑洞的极端零模式并计算对数温度修正。
AI 中文摘要
贝肯斯坦-霍金熵的量子修正具有一个有趣的特征：会出现对数面积项，其系数由无质量场的谱决定。对于近极端黑洞，熵还会收到对数温度修正，其系数由对应极端黑洞的零模式决定。本文研究三维、四维和五维的近极端旋转黑洞，重点关注旋转零模式。对于三维BTZ黑洞，我们的结果与微观描述一致。此外，将宇宙学常数标度ℓ视为独立参数，我们发现极端情况下熵存在额外的log ℓ修正。对于五维BMPV黑洞，我们明确构造所有极端零模式，并利用它们计算熵的对数温度修正。
英文摘要
An interesting feature of quantum corrections to the Bekenstein--Hawking entropy is the appearance of logarithmic area terms, whose coefficients are governed by the spectrum of massless fields. For near-extremal black holes, the entropy also receives a logarithmic temperature correction, whose coefficient is determined by the zero modes of the corresponding extremal black holes. In this paper, we study near-extremal rotating black holes in three, four, and five dimensions with an important focus on rotational zero modes. For three-dimensional BTZ black holes, our results are in agreement with the microscopic description. Furthermore, by treating the cosmological constant scale \(\ell\) as an independent parameter, we find an additional \(\log \ell\) correction to the entropy at extremality. For the five-dimensional BMPV black hole, we explicitly construct all the extremal zero modes and use them to evaluate the log temperature corrections to the entropy.
Comments51 pages, 3 figures, 3 appendices
