References & Citations
High Energy Physics - Theory
Title: New supersymmetric $AdS_6$ black holes from matter-coupled F(4) gauged supergravity
(Submitted on 4 Mar 2024 (v1), last revised 14 Mar 2024 (this version, v2))
Abstract: 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 $\Sigma\times \widetilde{\Sigma}$ and a Kahler four-cycle, the twist is implemented by $SO(2)_{\textrm{diag}}$ gauge field while, for $\mathcal{M}_4$ given by a Clayley 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.
Submission history
From: Parinya Karndumri [view email][v1] Mon, 4 Mar 2024 05:47:38 GMT (551kb,D)
[v2] Thu, 14 Mar 2024 15:33:36 GMT (551kb,D)
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