On flat space limits of AdS₄ black holes

@misc{marto2026flat,
  title = {{On flat space limits of $AdS_4$ black holes}},
  author = {Pedro Vicente Marto and Shradha Ramakrishnan and Stefan Vandoren},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.21518},
  eprint = {2608.21518},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.21518},
}

TY  - UNPB
TI  - On flat space limits of AdS_4 black holes
AU  - Pedro Vicente Marto
AU  - Shradha Ramakrishnan
AU  - Stefan Vandoren
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2608.21518
UR  - https://arxiv.org/abs/2608.21518
AB  - With a view towards understanding flat space holography, we study the flat space limit of asymptotically AdS_4 black holes in gauged 𝒩=2 supergravity. Using holographic renormalisation, we carefully analyse the flat space limit of the on-shell action of various black holes in this setting and make explicit the states that contribute to the partition function in this limit. We find several features: large black holes lead to a divergence in the partition function which can be understood as a thermodynamic volume divergence. Meanwhile, semiclassically, small black holes reproduce the partition function of their flat space counterparts, and we clarify the mapping between BPS, (near-)extremal or non-extremal black holes on both sides for charged and rotating solutions. Finally, by studying a suitable flat limit of the BPS Kerr-Newman-AdS_4 black hole in M-theory, we obtain a charged BPS solution in flat space. On the dual side, we determine a Carrollian-like limit on the known ABJM partition function on S^1× S^2 at large N, and show that it reproduces the correct entropy of the BPS charged black hole in asymptotically flat space.
ER  -