论文标题
新的超对称$ ads_5 $ 5d $ n = 4 $测量超级
New supersymmetric $AdS_5$ black strings from 5D $N=4$ gauged supergravity
论文作者
论文摘要
我们发现了一大批新的超对称$ ads_5 $黑弦，来自五维$ n = 4 $衡量的超级重力，与$ so（2）_d \ times so（3）so（3）so（3）so（3）$ so（3）$ Gauge Group耦合到五个矢量多重。这些解决方案具有$ ads_3 \ timesσ^2 $的近距离几何形状，$σ^2 $是两杆（$ s^2 $）或双曲线空间（$ h^2 $）。有四个超对称$ ads_5 $ vacua，$ n = 4 $和$ n = 2 $ supersymmetries。通过用$σ^2 $与$ so（2）\ so（2）_ {\ textrm {diag}} $和$（2）_ {\ textrm {diag}} $ gauge fields执行拓扑曲折，我们发现了许多$ ads_3 \ fielt fielt Pointies in fielt fielt fielt fielt fielt， $ ads_5 $空间。大多数解决方案采用$ ads_3 \ times h^2 $的形式，只有一个是$ ads_3 \ times s^2 $保留$ so（2）_ {\ textrm {diag}} $对称。我们还提供了相应的黑色弦乐解决方案在渐近的本地$ ads_5 $ vacua和近距离$ ads_3 \ timesσ^2 $几何形状之间插值。有许多解决方案从一个，两个或三个$ ads_5 $ vacua流到$ ads_3 \ timesσ^2 $固定点。这些解决方案也可以被视为跨尺寸的全息RG流，从$ n = 2 $和$ n = 1 $ scfts在四个维度上到二维SCFT，$ n =（2,0）$或$ n =（0,2）$ supersymmmetry。
We find a large class of new supersymmetric $AdS_5$ 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 $AdS_3\times Σ^2$ for $Σ^2$ being a two-sphere ($S^2$) or a hyperbolic space ($H^2$). There are four supersymmetric $AdS_5$ vacua with $N=4$ and $N=2$ supersymmetries. By performing topological twists along $Σ^2$ with $SO(2)\times SO(2)_{\textrm{diag}}$ and $SO(2)_{\textrm{diag}}$ gauge fields, we find a number of $AdS_3\times Σ^2$ fixed points describing near horizon geometries of black strings in asymptotically $AdS_5$ spaces. Most of the solutions take the form of $AdS_3\times H^2$ with only one being $AdS_3\times S^2$ preserving $SO(2)_{\textrm{diag}}$ symmetry. We also give the corresponding black string solutions interpolating between asymptotically locally $AdS_5$ vacua and the near horizon $AdS_3\times Σ^2$ geometries. There are a number of solutions flowing from one, two or three $AdS_5$ vacua to an $AdS_3\times Σ^2$ 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.
