Consistent $\mathcal{N}=4$, $D=4$ truncation of type IIB supergravity on $\textrm{S}^{1} \times \textrm{S}^{5}$
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| Format: | Preprint |
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2024
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| _version_ | 1866910678471671808 |
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| author | Guarino, Adolfo Sterckx, Colin Trigiante, Mario |
| author_facet | Guarino, Adolfo Sterckx, Colin Trigiante, Mario |
| contents | Fetching techniques from Generalised Geometry and Exceptional Field Theory, we develop a new method to identify consistent subsectors of four-dimensional gauged maximal supergravities that possess a (locally) geometric embedding in type IIB or 11D supergravity. We show that a subsector that is invariant under a structure group $\textrm{G}_\textrm{S} \subset \textrm{E}_{7(7)}$ can define a consistent truncation, even when $\textrm{G}_\textrm{S}$ is not part of the symmetry of the gauged maximal supergravity. As an illustration of the method, type IIB supergravity on $\textrm{S}^{1} \times \textrm{S}^{5}$ is shown to admit a consistent truncation to pure $\mathcal{N}=4$, $D=4$ gauged supergravity. Explicit uplift formulae are presented which provide a type IIB alternative to the M-theory embedding constructed by Cvetic, Lu and Pope $25$ years ago. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23149 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Consistent $\mathcal{N}=4$, $D=4$ truncation of type IIB supergravity on $\textrm{S}^{1} \times \textrm{S}^{5}$ Guarino, Adolfo Sterckx, Colin Trigiante, Mario High Energy Physics - Theory Fetching techniques from Generalised Geometry and Exceptional Field Theory, we develop a new method to identify consistent subsectors of four-dimensional gauged maximal supergravities that possess a (locally) geometric embedding in type IIB or 11D supergravity. We show that a subsector that is invariant under a structure group $\textrm{G}_\textrm{S} \subset \textrm{E}_{7(7)}$ can define a consistent truncation, even when $\textrm{G}_\textrm{S}$ is not part of the symmetry of the gauged maximal supergravity. As an illustration of the method, type IIB supergravity on $\textrm{S}^{1} \times \textrm{S}^{5}$ is shown to admit a consistent truncation to pure $\mathcal{N}=4$, $D=4$ gauged supergravity. Explicit uplift formulae are presented which provide a type IIB alternative to the M-theory embedding constructed by Cvetic, Lu and Pope $25$ years ago. |
| title | Consistent $\mathcal{N}=4$, $D=4$ truncation of type IIB supergravity on $\textrm{S}^{1} \times \textrm{S}^{5}$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.23149 |