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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.02029 |
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| _version_ | 1866908298478878720 |
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| author | Baron, Walter H. Marques, Diego Nunez, Carmen A. Yazbek, Nahuel |
| author_facet | Baron, Walter H. Marques, Diego Nunez, Carmen A. Yazbek, Nahuel |
| contents | Kaluza-Klein reductions of 11-dimensional supergravity lead to exceptional global symmetries in lower dimensions. Certain non-geometric elements of these symmetries, parameterized by a tri-vector $γ$, are not inherited from the higher-dimensional local symmetries, but represent instead a symmetry enhancement produced by the isometries of the background. Here, we demonstrate how to realize this enhancement in 11 dimensions, as a symmetry principle with constrained parameters. We show that $γ$ transformations exchange the equations of motion of the metric and the three-form with their Bianchi identities, in a closed form, structuring them into tri-vector multiplets. Implementing this principle as an off-shell symmetry of the theory requires the introduction of a hierarchy of dual fields, including a six-form and a dual graviton in the initial levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02029 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tri-vector symmetry of 11 dimensional supergravity Baron, Walter H. Marques, Diego Nunez, Carmen A. Yazbek, Nahuel High Energy Physics - Theory Kaluza-Klein reductions of 11-dimensional supergravity lead to exceptional global symmetries in lower dimensions. Certain non-geometric elements of these symmetries, parameterized by a tri-vector $γ$, are not inherited from the higher-dimensional local symmetries, but represent instead a symmetry enhancement produced by the isometries of the background. Here, we demonstrate how to realize this enhancement in 11 dimensions, as a symmetry principle with constrained parameters. We show that $γ$ transformations exchange the equations of motion of the metric and the three-form with their Bianchi identities, in a closed form, structuring them into tri-vector multiplets. Implementing this principle as an off-shell symmetry of the theory requires the introduction of a hierarchy of dual fields, including a six-form and a dual graviton in the initial levels. |
| title | Tri-vector symmetry of 11 dimensional supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.02029 |