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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2410.07837 |
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| _version_ | 1866929705052012544 |
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| author | Karndumri, Parinya |
| author_facet | Karndumri, Parinya |
| contents | We study supersymmetric $AdS_6$ black holes from matter-coupled $F(4)$ gauged supergravity coupled to four vector multiplets with $ISO(3)\times U(1)$ gauge group. This gauged supergravity admits a maximally supersymmetric $AdS_6$ vacuum with $SO(3)\subset ISO(3)$ symmetry. We find a number of new supersymmetric $AdS_2\times \mathcal{M}_4$ solutions by performing topological twists along $\mathcal{M}_4$. For $\mathcal{M}_4$ being a product of two Riemann surfaces $Σ\times \widetildeΣ$, we perform a twist by $SO(2)\times U(1)$ gauge fields and find $AdS_2\times Σ\times \widetildeΣ$ solutions for at least one of the Riemann surface being negatively curved. For $\mathcal{M}_4$ being a Kahler four-cycle $\mathcal{M}_{\textrm{K}4}$, a twist by $SO(2)\times U(1)$ gauge fields leads to $AdS_2\times \mathcal{M}_{\textrm{K}4}^-$ solutions for negatively curved $\mathcal{M}_{\textrm{K}4}$. Finally, performing a twist by turning on $SO(3)$ gauge fields in the case of $\mathcal{M}_4$ being a Cayley four-cycle $\mathcal{M}_{\textrm{C}4}$ also leads to $AdS_2\times \mathcal{M}_{\textrm{C}4}^-$ solutions for negatively curved $\mathcal{M}_{\textrm{C}4}$. We give numerical black hole solutions interpolating between all of these $AdS_2\times \mathcal{M}_4$ near horizon geometries and the asymptotically locally $AdS_6$ vacuum. It is also possible to uplift all of these solutions to type IIB theory via consistent truncations on $S^2\times Σ$ leading to a new class of supersymmetric $AdS_2\times \mathcal{M}_4\times S^2\times Σ$ solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Supersymmetric AdS$_6$ black holes from ISO(3)xU(1) F(4) gauged supergravity Karndumri, Parinya High Energy Physics - Theory We study supersymmetric $AdS_6$ black holes from matter-coupled $F(4)$ gauged supergravity coupled to four vector multiplets with $ISO(3)\times U(1)$ gauge group. This gauged supergravity admits a maximally supersymmetric $AdS_6$ vacuum with $SO(3)\subset ISO(3)$ symmetry. We find a number of new supersymmetric $AdS_2\times \mathcal{M}_4$ solutions by performing topological twists along $\mathcal{M}_4$. For $\mathcal{M}_4$ being a product of two Riemann surfaces $Σ\times \widetildeΣ$, we perform a twist by $SO(2)\times U(1)$ gauge fields and find $AdS_2\times Σ\times \widetildeΣ$ solutions for at least one of the Riemann surface being negatively curved. For $\mathcal{M}_4$ being a Kahler four-cycle $\mathcal{M}_{\textrm{K}4}$, a twist by $SO(2)\times U(1)$ gauge fields leads to $AdS_2\times \mathcal{M}_{\textrm{K}4}^-$ solutions for negatively curved $\mathcal{M}_{\textrm{K}4}$. Finally, performing a twist by turning on $SO(3)$ gauge fields in the case of $\mathcal{M}_4$ being a Cayley four-cycle $\mathcal{M}_{\textrm{C}4}$ also leads to $AdS_2\times \mathcal{M}_{\textrm{C}4}^-$ solutions for negatively curved $\mathcal{M}_{\textrm{C}4}$. We give numerical black hole solutions interpolating between all of these $AdS_2\times \mathcal{M}_4$ near horizon geometries and the asymptotically locally $AdS_6$ vacuum. It is also possible to uplift all of these solutions to type IIB theory via consistent truncations on $S^2\times Σ$ leading to a new class of supersymmetric $AdS_2\times \mathcal{M}_4\times S^2\times Σ$ solutions. |
| title | Supersymmetric AdS$_6$ black holes from ISO(3)xU(1) F(4) gauged supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.07837 |