New supersymmetric $Ad{S}_5$ black strings from 5D $N=4$ gauged supergravity

Abstract

We find a large class of new supersymmetric $Ad{S}_5$ black strings from five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2{)}_D\times SO(3)\times SO(3)$ gauge group. These solutions have near horizon geometries of the form $Ad{S}_3\times {\Sigma }^2$ for ${\Sigma }^2$ being a two-sphere ($S^2$) or a hyperbolic space ($H^2$). There are four supersymmetric $Ad{S}_5$ vacua with $N=4$ and $N=2$ supersymmetries. By performing topological twists along ${\Sigma }^2$ with $SO(2)\times SO(2{)}_{\text{diag}}$ and $SO(2{)}_{\text{diag}}$ gauge fields, we find a number of $Ad{S}_3\times {\Sigma }^2$ fixed points describing near horizon geometries of black strings in asymptotically $Ad{S}_5$ spaces. Most of the solutions take the form of $Ad{S}_3\times H^2$ with only one being $Ad{S}_3\times S^2$ preserving $SO(2{)}_{\text{diag}}$ symmetry. We also give the corresponding black string solutions interpolating between asymptotically locally $Ad{S}_5$ vacua and the near horizon $Ad{S}_3\times {\Sigma }^2$ geometries. There are a number of solutions flowing from one, two or three $Ad{S}_5$ vacua to an $Ad{S}_3\times {\Sigma }^2$ fixed point. These solutions can also be considered as holographic RG flows across dimensions from $N=2$ and $N=1$ SCFTs in four dimensions to two-dimensional SCFTs with $N=(2,0)$ or $N=(0,2)$ supersymmetry.

arXiv comment31 pages, 7 figures, a sequel to arXiv: 2209.05270, typos corrected

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