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 |
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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 |
| _version_ | 1797356028664217600 |
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| author | Guillaume Bossard Franz Ciceri Gianluca Inverso Axel Kleinschmidt |
| author_facet | Guillaume Bossard Franz Ciceri Gianluca Inverso Axel Kleinschmidt |
| author_sort | Guillaume Bossard |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T14:20:39Z |
| format | Article |
| id | doaj.art-ef9172ee9a9a4a119903519177a647e2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T14:20:39Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ef9172ee9a9a4a119903519177a647e22024-01-14T12:07:02ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024116510.1007/JHEP01(2024)045Consistent truncation of eleven-dimensional supergravity on S 8 × S 1Guillaume Bossard0Franz Ciceri1Gianluca Inverso2Axel Kleinschmidt3Centre de Physique Théorique, CNRS, Institut Polytechnique de ParisMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)INFN, Sezione di PadovaMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)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.https://doi.org/10.1007/JHEP01(2024)045AdS-CFT CorrespondenceD-BranesExtended Supersymmetry |
| spellingShingle | Guillaume Bossard Franz Ciceri Gianluca Inverso Axel Kleinschmidt Consistent truncation of eleven-dimensional supergravity on S 8 × S 1 Journal of High Energy Physics AdS-CFT Correspondence D-Branes Extended Supersymmetry |
| title | Consistent truncation of eleven-dimensional supergravity on S 8 × S 1 |
| title_full | Consistent truncation of eleven-dimensional supergravity on S 8 × S 1 |
| title_fullStr | Consistent truncation of eleven-dimensional supergravity on S 8 × S 1 |
| title_full_unstemmed | Consistent truncation of eleven-dimensional supergravity on S 8 × S 1 |
| title_short | Consistent truncation of eleven-dimensional supergravity on S 8 × S 1 |
| title_sort | consistent truncation of eleven dimensional supergravity on s 8 s 1 |
| topic | AdS-CFT Correspondence D-Branes Extended Supersymmetry |
| url | https://doi.org/10.1007/JHEP01(2024)045 |
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