论文标题
测量$ \ Mathcal {n} = 3，d = 4 $ supergravity：一个新的边界连接真空网络
Gauged $\mathcal{N}=3,D=4$ Supergravity: a new web of marginally connected vacua
论文作者
论文摘要
我们分析了$ \ mathcal {n} = 3的真空结构，d = 4 $ supergravity耦合到9个带有量规组$ {\ rm so}（3）（3）\ times {\ rm su}（3）$的矢量多重组。除了中央$ \ Mathcal {n} = 3 $ ads $ _4 $ vuuum的起源外，超级美度结构在其上重现了在$ \ mathrm {n^{0,1,1,0}}上被M Breative compacted的无质量群体，我们找到了广告的丰富结构， $ \ Mathcal {n} = 0,1,2,3 $ supersymmemeTry。这些新的真空吸尘器被排列在标量场跨越的歧管中，该标量与恰好的双重CFT边缘变形相对应。该歧管具有$ t^3/k $的形式，其中$ k $是量规组的离散子组：$ \ natercal {n} = 3,2 $和$ 1 $ vacua sose，相应到一个点，三维真空歧管中的线和表面。我们从中央$ \ Mathcal {n} = 3 $真空学习RG流量，并详细介绍了新真空吸尘器的更高尺寸起源。为了读者的便利，我们还提供了$ d = 4 $，$ \ MATHCAL {n} = 3 $衡量的超级格栅的嵌入张量公式的评论。特别是，我们提供涉及$ \ Mathcal {n} = 3 $理论的Fermion Shift Tensors和Mass矩阵的公式，可以应用于通用测量。
We analyze the vacuum structure of $\mathcal{N}=3,D=4$ supergravity coupled to 9 vector multiplets with gauge group ${\rm SO}(3)\times {\rm SU}(3)$. Aside from the central $\mathcal{N}=3$ AdS$_4$ vacuum at the origin, on which the supermultiplet structure reproduces the massless sector of M-theory compactified on $\mathrm{N^{0,1,0}}$, we find a rich structure of AdS$_4$ vacua preserving $\mathcal{N}=0,1,2,3$ supersymmetry. These new vacua are arranged in a manifold spanned by scalar fields corresponding to exactly marginal deformations of the dual CFT. This manifold has the form $T^3/K$, where $K$ is a discrete subgroup of the gauge group: $\mathcal{N}=3,2$ and $1$ vacua correspond, respectively, to a point, a line and a surface in the three-dimensional vacuum manifold. We study RG flows from the central $\mathcal{N}=3$ vacuum and elaborate on the possible higher dimensional origin of the new vacua. For the reader's convenience we also provide a review of the embedding tensor formulation of $D=4$, $\mathcal{N}=3$ gauged supergravities. In particular we provide formulas involving the fermion shift tensors and mass matrices in $\mathcal{N}=3$ theories, which can be applied to a generic gauging.
