Consistent truncations and G$_2$-invariant AdS$_4$ solutions of $D=11$ supergravity
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917871746023424 |
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| author | Duboeuf, Bastien Galli, Michele Malek, Emanuel Samtleben, Henning |
| author_facet | Duboeuf, Bastien Galli, Michele Malek, Emanuel Samtleben, Henning |
| contents | Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G$_2$-invariant solutions of $D=11$ supergravity. Their geometry is of the form AdS$_4\times Σ_7$ where $Σ_7$ is a deformed seven-sphere, preserving SO(7) isometries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_13300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Consistent truncations and G$_2$-invariant AdS$_4$ solutions of $D=11$ supergravity Duboeuf, Bastien Galli, Michele Malek, Emanuel Samtleben, Henning High Energy Physics - Theory General Relativity and Quantum Cosmology Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G$_2$-invariant solutions of $D=11$ supergravity. Their geometry is of the form AdS$_4\times Σ_7$ where $Σ_7$ is a deformed seven-sphere, preserving SO(7) isometries. |
| title | Consistent truncations and G$_2$-invariant AdS$_4$ solutions of $D=11$ supergravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.13300 |