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 -