Abstract
Eleven-dimensional supergravity on S8 × S1 is conjectured to be dual to the M-theory matrix model. We prove that the dynamics of a subset of fluctuations around this background is consistently described by D = 2 SO(9) gauged maximal supergravity. We provide the full non-linear uplift formulæ for all bosonic fields. We also present a further truncation to the SO(3)×SO(6) invariant sector and discuss its relation to the BMN matrix model at finite temperature. The construction relies on the framework of generalised Scherk-Schwarz reductions, established for E9 exceptional field theory in a companion paper. As a by-product, we severely constrain the most general gauge deformations in D = 2 admitting an uplift to higher dimensions.
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Acknowledgments
We would like to thank Thomas Fischbacher, Benedikt König, Emanuel Malek, Hermann Nicolai and Henning Samtleben for discussions. AK is grateful to École Polytechnique for its hospitality during the early stages of this paper. Part of this work was carried out at the workshop on Higher Structures, Gravity and Fields at the Mainz Institute for Theoretical Physics of the DFG Cluster of Excellence PRISMA+ (Project ID 39083149). We would like to thank the institute for its hospitality. This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 740209).
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Bossard, G., Ciceri, F., Inverso, G. et al. Consistent truncation of eleven-dimensional supergravity on S8 × S1. J. High Energ. Phys. 2024, 45 (2024). https://doi.org/10.1007/JHEP01(2024)045
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DOI: https://doi.org/10.1007/JHEP01(2024)045