PreprintCC BY 4.0arXiv
𝒩=3 supersymmetric AdS4 solutions in d=11 supergravity
Abstract
We derive the necessary and sufficient conditions for AdS4 solutions of d=11 supergravity to preserve 𝒩 ≤ 3 supersymmetry. We use our setup to first impose 𝒩=2 supersymmetry, recovering a previously known class of solutions, providing a non-trivial consistency of our equations. We then focus on the ${\mathcal{N}} = 3 $ case, first deriving the Tri-Sasaki class and then proving its uniqueness as the only 𝒩 = 3 AdS4 class in eleven dimensional supergravity. Our work proves that all supersymmetric AdS4 solutions preserving ${\mathcal{N}} > 2 $ supersymmetry are necessarily of Tri-Sasaki type.
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BibTeX
@misc{conti2026𝒩3,
title = {{$\mathcalN=3$ supersymmetric AdS$_4$ solutions in $d=11$ supergravity}},
author = {Andrea Conti},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00468},
eprint = {2610.00468},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00468},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - 𝒩=3 supersymmetric AdS_4 solutions in d=11 supergravity
AU - Andrea Conti
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00468
UR - https://arxiv.org/abs/2610.00468
AB - We derive the necessary and sufficient conditions for AdS_4 solutions of d=11 supergravity to preserve 𝒩 ≤ 3 supersymmetry. We use our setup to first impose 𝒩=2 supersymmetry, recovering a previously known class of solutions, providing a non-trivial consistency of our equations. We then focus on the ${\mathcal{N}} = 3 $ case, first deriving the Tri-Sasaki class and then proving its uniqueness as the only 𝒩 = 3 AdS_4 class in eleven dimensional supergravity. Our work proves that all supersymmetric AdS_4 solutions preserving ${\mathcal{N}} > 2 $ supersymmetry are necessarily of Tri-Sasaki type.
ER -