标题： 物质耦合的F(4)规范超引力中的新型 supersymmetric AdS$_6$黑洞 显示英文标题

标题： New supersymmetric AdS$_6$ black holes from matter-coupled F(4) gauged supergravity

摘要： 我们研究了来自与三个矢量多路复用和$SO(3)\times SO(3)$规范群耦合的物质耦合$N=(1,1)$规范超引力的超对称$AdS_6$黑洞。 这种规范化的超引力承认两个超对称$AdS_6$真空，保留所有超对称性，具有$SO(3)\times SO(3)$和$SO(3)_{\textrm{diag}}$对称性。 通过考虑截断到$SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$不变量 sector，我们通过对$\mathcal{M}_4$进行拓扑扭转，找到了若干新的超对称$AdS_2\times \mathcal{M}_4$解。 对于 $\mathcal{M}_4$ 是两个黎曼曲面 $\Sigma\times \widetilde{\Sigma}$ 和一个凯勒四维循环的乘积的情况，扭转变换由 $SO(2)_{\textrm{diag}}$ 规范场实现；而对于由凯莱四维循环给出的 $\mathcal{M}_4$，扭转变换通过开启 $SO(3)_{\textrm{diag}}$ 规范场来完成。 我们给出了数值上的黑洞解，这些解在 $AdS_2\times \mathcal{M}_4$ 的近地平线几何与渐近局部 $AdS_6$ 真空之间进行插值。 在这些解中，存在在两种超对称真空$AdS_6$和近地平线几何之间插值的解。 这些解也可以被解释为五维SCFT到超共形量子力学的全息RG流。 显示英文摘要

摘要： 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 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.