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PreprintCC BY 4.0arXiv

BPS black holes in flat space from quantum mechanics

Abstract

Despite extensive work on BPS black holes in 4d flat space, there is no direct microstate counting from D-brane quantum mechanics in regimes described by Einstein gravity. We derive an exact formula counting BPS configurations of the D-brane system corresponding to black holes in N=8 supergravity obtained from type II strings on T6. As part of the derivation, we relate the BPS equations to a solvable modified Calogero-Moser system. The result agrees with the prediction from the modified elliptic genus of the D1-D5 system, providing a highly nontrivial test of the string dualities relating the two descriptions. We emphasize that this quantum mechanical system is, as a model of quantum black holes, simpler than BFSS and propose some numerical tests to explore this.

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BibTeX
@misc{shi2026black,
  title = {{BPS black holes in flat space from quantum mechanics}},
  author = {Xiaoyi Shi and Gustavo J. Turiaci},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18951},
  eprint = {2610.18951},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18951},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - BPS black holes in flat space from quantum mechanics
AU  - Xiaoyi Shi
AU  - Gustavo J. Turiaci
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18951
UR  - https://arxiv.org/abs/2610.18951
AB  - Despite extensive work on BPS black holes in 4d flat space, there is no direct microstate counting from D-brane quantum mechanics in regimes described by Einstein gravity. We derive an exact formula counting BPS configurations of the D-brane system corresponding to black holes in N=8 supergravity obtained from type II strings on T^6. As part of the derivation, we relate the BPS equations to a solvable modified Calogero-Moser system. The result agrees with the prediction from the modified elliptic genus of the D1-D5 system, providing a highly nontrivial test of the string dualities relating the two descriptions. We emphasize that this quantum mechanical system is, as a model of quantum black holes, simpler than BFSS and propose some numerical tests to explore this.
ER  -