A real superpotential for M-theory on eight-manifolds
Abstract
We study warped compactifications of eleven-dimensional supergravity on eight-manifolds to Minkowski or AdS vacua preserving N=1 supersymmetry in three dimensions. For backgrounds characterised by a local G2 structure, we derive an off-shell real superpotential functional in terms of the internal geometry and fluxes without performing a finite Kaluza-Klein truncation. We obtain this expression in two independent ways: from the dimensional reduction of the gravitino variation and from the reduction of the eleven-dimensional gravitino action. We show that the critical-point equations, together with the vacuum value of the superpotential, are equivalent to the full set of supersymmetry conditions implied by the eleven-dimensional Killing spinor equations. When the local G2 structure enhances to a global Spin(7) structure, our result reduces to the known superpotential for M-theory on Spin(7) manifolds.
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BibTeX
@misc{ashmore2026real,
title = {{A real superpotential for M-theory on eight-manifolds}},
author = {Anthony Ashmore and Savdeep Sethi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12439},
eprint = {2610.12439},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12439},
}
RIS
TY - UNPB
TI - A real superpotential for M-theory on eight-manifolds
AU - Anthony Ashmore
AU - Savdeep Sethi
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12439
UR - https://arxiv.org/abs/2610.12439
AB - We study warped compactifications of eleven-dimensional supergravity on eight-manifolds to Minkowski or AdS vacua preserving N=1 supersymmetry in three dimensions. For backgrounds characterised by a local G_2 structure, we derive an off-shell real superpotential functional in terms of the internal geometry and fluxes without performing a finite Kaluza-Klein truncation. We obtain this expression in two independent ways: from the dimensional reduction of the gravitino variation and from the reduction of the eleven-dimensional gravitino action. We show that the critical-point equations, together with the vacuum value of the superpotential, are equivalent to the full set of supersymmetry conditions implied by the eleven-dimensional Killing spinor equations. When the local G_2 structure enhances to a global Spin(7) structure, our result reduces to the known superpotential for M-theory on Spin(7) manifolds.
ER -