论文标题
ADS5真空吸尘器和全息RG流量从5D n = 4衡量
AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity
论文作者
论文摘要
我们研究了五维$ n = 4 $衡量的超级重力与$（2）_d \ times so（3）\ times so（3）$ gauge组相结合的五个矢量多重。截断为$（2）_ {\ textrm {diag}} $不变标量，有四个超对称$ ads_5 $ vacua。这些真空中的两个保留了$（2）_d \ times so（3）\ times so（3）$（3）$和$（2）_d \ times so（3）_ {\ textrm {diag}} $ Symmeties $ Symmeties。这些具有$ n = 4 $衡量的超级重力的类似物（2）\ times so（3）\ times so（3）$ gauge group。另外两个$ ads_5 $ vacua仅保留$ n = 2 $ supersymmemeTry，$ so（2）_ {\ textrm {diag}} \ times so（3）$和$ so（2）_ {\ textrm {diag}}} $ symmetry。前者在先前的$（2）_d \ times so（3）$量规组的研究中具有类似物，而后者是一个真正的新$ n = 2 $ $ $ ads_5 $ vacuum。这些真空为$ n = 2 $，$ n = 1 $超符合字段理论（SCFTS），具有不同的风味对称性的四个维度。我们在所有$ ads_5 $的关键点上提供完整的标量质谱，该点提供了有关双重操作员的共形维度的信息。最后，我们研究了这些$ ads_5 $ vacua之间插值的全息RG流，并找到新的解决方案。除了rg的流动外，（2）_d \ times（3）\ so（3）$ $ $ n = 4 $关键点在标量的起源到所有其他关键点，还有一个rg家族，还有一个来自Trivial $ n = 4 $的rg流，即新的$ n $ new = 4 $ to the New $ so（2）$ so $ n $ so} $ n passe，任意接近$ SO（2）_d \ times so（3）_ {\ textrm {diag}} $ $ n = 4 $关键点。
We study five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. There are four supersymmetric $AdS_5$ vacua in the truncation to $SO(2)_{\textrm{diag}}$ invariant scalars. Two of these vacua preserve the full $N=4$ supersymmetry with $SO(2)_D\times SO(3)\times SO(3)$ and $SO(2)_D\times SO(3)_{\textrm{diag}}$ symmetries. These have an analogue in $N=4$ gauged supergravity with $SO(2)\times SO(3)\times SO(3)$ gauge group. The other two $AdS_5$ vacua preserve only $N=2$ supersymmetry with $SO(2)_{\textrm{diag}}\times SO(3)$ and $SO(2)_{\textrm{diag}}$ symmetry. The former has an analogue in the previous study of $SO(2)_D\times SO(3)$ gauge group while the latter is a genuinely new $N=2$ $AdS_5$ vacuum. These vacua are dual to $N=2$ and $N=1$ superconformal field theories (SCFTs) in four dimensions with different flavour symmetries. We give the full scalar mass spectra at all of the $AdS_5$ critical points which provide information on conformal dimensions of the dual operators. Finally, we study holographic RG flows interpolating between these $AdS_5$ vacua and find a new class of solutions. In addition to the RG flows from the trivial $SO(2)_D\times SO(3)\times SO(3)$ $N=4$ critical point, at the origin of the scalar manifold, to all the other critical points, there is a family of RG flows from the trivial $N=4$ critical point to the new $SO(2)_{\textrm{diag}}$ $N=2$ critical point that pass arbitrarily close to the $SO(2)_D\times SO(3)_{\textrm{diag}}$ $N=4$ critical point.
