Consistent truncation of eleven-dimensional supergravity on $S^8\times S^1$ - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2024

Consistent truncation of eleven-dimensional supergravity on $S^8\times S^1$

Franz Ciceri
  • Fonction : Auteur
Gianluca Inverso
  • Fonction : Auteur
Axel Kleinschmidt
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-04229339 , version 1 (05-10-2023)

Identifiants

Citer

Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt. Consistent truncation of eleven-dimensional supergravity on $S^8\times S^1$. Journal of High Energy Physics, 2024, 01, pp.045. ⟨10.1007/JHEP01(2024)045⟩. ⟨hal-04229339⟩
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