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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2603.24534 |
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| _version_ | 1866918408555069440 |
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| author | Lin, Jieming Stelle, Kellogg S. Waldram, Daniel |
| author_facet | Lin, Jieming Stelle, Kellogg S. Waldram, Daniel |
| contents | In this note we show how the consistent truncations on half-supersymmetric branes of Leung and Stelle and Lin, Skrzypek and Stelle fit into the general exceptional generalised geometry analysis of Cassani \emph{et al.}. Each solution defines a torsion-free $Spin(n)$ structure in the $Spin(n,n)\times \mathbb{R}^+$ generalised geometry introduced by Strickland--Constable, where $n$ is the dimension of the space transverse to the brane. Embedding this into the appropriate exceptional generalised geometry then defines the truncation. As a by-product we derive a new consistent truncation on the IIA NS5-brane to six-dimensional $\mathcal{N}=(2,0)$ supergravity coupled to a tensor mutliplet, and new consistent truncations on the D6- and D7-branes to seven- and eight-dimensional pure half-maximal supergravity respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24534 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $Spin(n,n)\times\mathbb{R}^+$ Generalised Geometry and Consistent Truncations on Branes Lin, Jieming Stelle, Kellogg S. Waldram, Daniel High Energy Physics - Theory In this note we show how the consistent truncations on half-supersymmetric branes of Leung and Stelle and Lin, Skrzypek and Stelle fit into the general exceptional generalised geometry analysis of Cassani \emph{et al.}. Each solution defines a torsion-free $Spin(n)$ structure in the $Spin(n,n)\times \mathbb{R}^+$ generalised geometry introduced by Strickland--Constable, where $n$ is the dimension of the space transverse to the brane. Embedding this into the appropriate exceptional generalised geometry then defines the truncation. As a by-product we derive a new consistent truncation on the IIA NS5-brane to six-dimensional $\mathcal{N}=(2,0)$ supergravity coupled to a tensor mutliplet, and new consistent truncations on the D6- and D7-branes to seven- and eight-dimensional pure half-maximal supergravity respectively. |
| title | $Spin(n,n)\times\mathbb{R}^+$ Generalised Geometry and Consistent Truncations on Branes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.24534 |