Logarithmic corrections to the entropy of near-extremal rotating black holes

@misc{banerjee2026logarithmic,
  title = {{Logarithmic corrections to the entropy of near-extremal rotating black holes}},
  author = {Nabamita Banerjee and Koustubh Guha and Muktajyoti Saha},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01039},
  eprint = {2609.01039},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01039},
  note = {CC0},
}

TY  - UNPB
TI  - Logarithmic corrections to the entropy of near-extremal rotating black holes
AU  - Nabamita Banerjee
AU  - Koustubh Guha
AU  - Muktajyoti Saha
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.01039
UR  - https://arxiv.org/abs/2609.01039
AB  - 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 ℓ as an independent parameter, we find an additional log ℓ 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.
ER  -