论文标题
n = 5级超级实力的超对称溶液
Supersymmetric solutions from N=5 gauged supergravity
论文作者
论文摘要
我们使用$（5）$ gauge组的四维$ n = 5 $衡量的超级加盖超级超对称解决方案研究了一大批超对称解决方案。只有一个$ n = 5 $ supersymmetric $ ads_4 $真空保存整个$ SO（5）$对称双二维为$ n = 5 $ scft在三个维度上。我们在IR中使用$（4）$和$ SO（3）$ symmetries在IR中给出了$ ads_4 $固定点和奇异的几何形状之间的许多域墙。这些解决方案描述了RG流从$ n = 5 $ scft到由质量变形驱动的非统一场理论。 $ so（4）$ solutions与双$ n = 5 $ scft中的先前已知的质量变形完全一致。我们还发现了超对称的Janus解决方案，描述了$ n = 5 $ scft中的二维形式缺陷，其中$ n =（4,1）$和$ n =（1,1）$ supersymmetries在缺陷上。最后，我们研究了形式的$ ads_2 \ timesσ^2 $的超对称解决方案，其中$σ^2 = s^2，h^2 $是riemann表面，对应于$ ads_4 $黑洞的近地平线几何。我们考虑了磁性和敌对的解决方案，并发现存在一类磁性$ ads_2 \ times h^2 $ so（2）$对称性的解决方案。相当值得注意的是，可以通过运行标量在$ ads_4 $和$ ads_2 \ times h^2 $之间进行完整的分析解决方案。该解决方案对应于$ n = 5 $ scft的扭曲紧凑型对超符号量子力学。我们还表明，从$（2）\ times so（2）$ so（2）$ n = 5 $，$ so（5）$（5）$ gauged supergravity中存在$ ADS_2 \ timesσ^2 $ horizon的纯磁性或对照黑孔。
We study a large class of supersymmetric solutions in four-dimensional $N=5$ gauged supergravity with $SO(5)$ gauge group. There is only one $N=5$ supersymmetric $AdS_4$ vacuum preserving the full $SO(5)$ symmetry dual to an $N=5$ SCFT in three dimensions. We give a number of domain walls interpolating between this $AdS_4$ fixed point and singular geometries in the IR with $SO(4)$ and $SO(3)$ symmetries. These solutions describe RG flows from the $N=5$ SCFT to non-conformal field theories driven by mass deformations. The $SO(4)$ solutions are precisely in agreement with the previously known mass deformations within the dual $N=5$ SCFT. We also find supersymmetric Janus solutions describing two-dimensional conformal defects in the $N=5$ SCFT with $N=(4,1)$ and $N=(1,1)$ supersymmetries on the defects. Finally, we study supersymmetric solutions of the form $AdS_2\times Σ^2$, with $Σ^2=S^2,H^2$ being a Riemann surface, corresponding to near horizon geometries of $AdS_4$ black holes. We consider both magnetic and dyonic solutions and find that there exists a class of magnetic $AdS_2\times H^2$ solutions with $SO(2)$ symmetry. It is rather remarkable that a complete analytic solution interpolating between $AdS_4$ and $AdS_2\times H^2$ with a running scalar can be obtained. The solution corresponds to a twisted compactification of $N=5$ SCFT to superconformal quantum mechanics. We also show that no purely magnetic or dyonic black holes with $AdS_2\times Σ^2$ horizon from $SO(2)\times SO(2)$ twist exist in $N=5$, $SO(5)$ gauged supergravity.
