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High Energy Physics - Theory, hep-th
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.
