Supersymmetric solutions of non-relativistic 11-dimensional supergravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908306517262336 |
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| author | Blair, Chris D. A. |
| author_facet | Blair, Chris D. A. |
| contents | Eleven-dimensional supergravity has a non-relativistic variant obtained by taking a limit associated with the M2 brane. Consistency of this non-relativistic supergravity requires constraints. There is one choice of constraints which keeps the maximal amount of supersymmetry transformations, and another which only keeps half. I discuss supersymmetric solutions of this theory, based on limits of the M2 and M5 solutions. These limits involve either a scaling of the number of branes or a smearing in certain directions, and have been argued to produce non-Lorentzian bulk geometries appearing in novel versions of the AdS/CFT correspondence. I show that the scaled solutions are solutions of the maximally supersymmetric version of the non-relativistic supergravity, while the smeared solutions only give solutions of the half-maximally supersymmetric version. I show these solutions are all supersymmetric by solving the Killing spinor equations, and discuss usual and unusual forms of supersymmetry enhancement. I also discuss a simple supersymmetric AdS_3 background, and point out that the BTZ black hole is a solution of non-relativistic 11-dimensional supergravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersymmetric solutions of non-relativistic 11-dimensional supergravity Blair, Chris D. A. High Energy Physics - Theory Eleven-dimensional supergravity has a non-relativistic variant obtained by taking a limit associated with the M2 brane. Consistency of this non-relativistic supergravity requires constraints. There is one choice of constraints which keeps the maximal amount of supersymmetry transformations, and another which only keeps half. I discuss supersymmetric solutions of this theory, based on limits of the M2 and M5 solutions. These limits involve either a scaling of the number of branes or a smearing in certain directions, and have been argued to produce non-Lorentzian bulk geometries appearing in novel versions of the AdS/CFT correspondence. I show that the scaled solutions are solutions of the maximally supersymmetric version of the non-relativistic supergravity, while the smeared solutions only give solutions of the half-maximally supersymmetric version. I show these solutions are all supersymmetric by solving the Killing spinor equations, and discuss usual and unusual forms of supersymmetry enhancement. I also discuss a simple supersymmetric AdS_3 background, and point out that the BTZ black hole is a solution of non-relativistic 11-dimensional supergravity. |
| title | Supersymmetric solutions of non-relativistic 11-dimensional supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.21577 |