Consistent truncation of eleven-dimensional supergravity on $S^8\times S^1$
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910297488359424 |
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| author | Bossard, Guillaume Ciceri, Franz Inverso, Gianluca Kleinschmidt, Axel |
| author_facet | Bossard, Guillaume Ciceri, Franz Inverso, Gianluca Kleinschmidt, Axel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07233 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Consistent truncation of eleven-dimensional supergravity on $S^8\times S^1$ Bossard, Guillaume Ciceri, Franz Inverso, Gianluca Kleinschmidt, Axel High Energy Physics - Theory 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. |
| title | Consistent truncation of eleven-dimensional supergravity on $S^8\times S^1$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.07233 |