Consistent truncation of eleven-dimensional supergravity on S 8 × S 1
Abstract Eleven-dimensional supergravity on S 8 × 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 form...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2024-01-01
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Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | https://doi.org/10.1007/JHEP01(2024)045 |
Summary: | Abstract Eleven-dimensional supergravity on S 8 × 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 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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ISSN: | 1029-8479 |