标题： 新的物质耦合 F(4) 规范超引力中的超对称$AdS_6$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： 我们从与三个矢量多重态耦合的物质耦合的$N=(1,1)$规范超引力中研究超对称$AdS_6$黑洞，其规范群为$SO(3)\times SO(3)$。 该规范超引力存在两个保持所有超对称性的超对称$AdS_6$真空，具有$SO(3)\times SO(3)$和$SO(3)_{\textrm{diag}}$对称性。 通过考虑对$SO(2)_{\textrm{diag}}\subset SO(3)_{\textrm{diag}}$不变子空间的截断，我们通过沿$\mathcal{M}_4$进行拓扑扭曲找到了一些新的超对称$AdS_2\times \mathcal{M}_4$解。 对于$\mathcal{M}_4$作为两个黎曼曲面$\Sigma\times \widetilde{\Sigma}$和一个凯勒四循环的乘积，扭转变换通过$SO(2)_{\textrm{diag}}$规范场实现，而对于由克莱利四循环给出的$\mathcal{M}_4$，扭转变换是通过开启$SO(3)_{\textrm{diag}}$规范场来实现的。我们给出了在$AdS_2\times \mathcal{M}_4$近视界几何和渐近局部$AdS_6$真空之间插值的数值黑洞解。 在这些解中，有一些解在超对称$AdS_6$真空之间进行插值，并且接近视界几何。 这些解也可以被解释为从五维 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 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.