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Journal Article

Consistent truncation of eleven-dimensional supergravity on S8 × S1

MPS-Authors
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Ciceri,  Franz
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons2677

Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

2309.07233.pdf
(Preprint), 756KB

Supplementary Material (public)

JHEP01(2024)045.pdf
(Supplementary material), 1022KB

Citation

Bossard, G., Ciceri, F., Inverso, G., & Kleinschmidt, A. (2024). Consistent truncation of eleven-dimensional supergravity on S8 × S1. Journal of High Energy Physics, 2024(01): 045. doi:10.1007/JHEP01(2024)045.


Cite as: https://hdl.handle.net/21.11116/0000-000E-6AE6-8
Abstract
Eleven-dimensional supergravity on $S^8\times S^1$ 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 formulae for
all bosonic fields. We also present a further truncation to the
SO(3)$\times$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 E$_9$ 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.