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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2403.01746 |
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| _version_ | 1866916439375478784 |
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| author | Karndumri, Parinya |
| author_facet | Karndumri, Parinya |
| contents | We study supersymmetric $AdS_6$ black holes from matter-coupled $N=(1,1)$ gauged supergravity coupled to three vector multiplets and $SO(3)\times SO(3)$ gauge group. This gauged supergravity admits two supersymmetric $AdS_6$ vacua preserving all supersymmetries with $SO(3)\times SO(3)$ and $SO(3)_{\textrm{diag}}$ symmetries. By considering a truncation to $SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$ invariant sector, we find a number of new supersymmetric $AdS_2\times \mathcal{M}_4$ solutions by performing a topological twist along $\mathcal{M}_4$. For $\mathcal{M}_4$ being a product of two Riemann surfaces $Σ\times \widetildeΣ$ and a Kahler four-cycle, the twist is implemented by $SO(2)_{\textrm{diag}}$ gauge field while, for $\mathcal{M}_4$ given by a Cayley four-cycle, the twist is performed by turning on $SO(3)_{\textrm{diag}}$ gauge fields. We give numerical black hole solutions interpolating between $AdS_2\times \mathcal{M}_4$ near horizon geometries and asymptotically locally $AdS_6$ vacua. Among these solutions, there are solutions interpolating between both of the supersymmetric $AdS_6$ vacua and near horizon geometries. The solutions can also be interpreted as holographic RG flows from five-dimensional SCFTs to superconformal quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01746 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New supersymmetric AdS$_6$ black holes from matter-coupled F(4) gauged supergravity Karndumri, Parinya High Energy Physics - Theory We study supersymmetric $AdS_6$ black holes from matter-coupled $N=(1,1)$ gauged supergravity coupled to three vector multiplets and $SO(3)\times SO(3)$ gauge group. This gauged supergravity admits two supersymmetric $AdS_6$ vacua preserving all supersymmetries with $SO(3)\times SO(3)$ and $SO(3)_{\textrm{diag}}$ symmetries. By considering a truncation to $SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$ invariant sector, we find a number of new supersymmetric $AdS_2\times \mathcal{M}_4$ solutions by performing a topological twist along $\mathcal{M}_4$. For $\mathcal{M}_4$ being a product of two Riemann surfaces $Σ\times \widetildeΣ$ and a Kahler four-cycle, the twist is implemented by $SO(2)_{\textrm{diag}}$ gauge field while, for $\mathcal{M}_4$ given by a Cayley four-cycle, the twist is performed by turning on $SO(3)_{\textrm{diag}}$ gauge fields. We give numerical black hole solutions interpolating between $AdS_2\times \mathcal{M}_4$ near horizon geometries and asymptotically locally $AdS_6$ vacua. Among these solutions, there are solutions interpolating between both of the supersymmetric $AdS_6$ vacua and near horizon geometries. The solutions can also be interpreted as holographic RG flows from five-dimensional SCFTs to superconformal quantum mechanics. |
| title | New supersymmetric AdS$_6$ black holes from matter-coupled F(4) gauged supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.01746 |