O(4,4) dualities and Manin triples
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908584868052992 |
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| author | Kurenkova, Angelina Musaev, Edvard T. |
| author_facet | Kurenkova, Angelina Musaev, Edvard T. |
| contents | We provide a coarse classification of all 8-dimensional Manin triples, that describe Poisson--Lie T-dualities between 4-dimensional group manifold solutions to supergravity equations. We find several such dualities and one Poisson--Lie triality. For each class we refine the classification by marking whether the corresponding Drinfeld double can be obtained by a Yang--Baxter deformation of the initial algebra paired by the four-dimensional Abelian algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19144 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | O(4,4) dualities and Manin triples Kurenkova, Angelina Musaev, Edvard T. High Energy Physics - Theory We provide a coarse classification of all 8-dimensional Manin triples, that describe Poisson--Lie T-dualities between 4-dimensional group manifold solutions to supergravity equations. We find several such dualities and one Poisson--Lie triality. For each class we refine the classification by marking whether the corresponding Drinfeld double can be obtained by a Yang--Baxter deformation of the initial algebra paired by the four-dimensional Abelian algebra. |
| title | O(4,4) dualities and Manin triples |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.19144 |