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arXiv 1602.02254hep-th
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四维N=3超引力和AdS4/CFT3全息的测量

Gaugings of four-dimensional N=3 supergravity and AdS4/CFT3 holography

Parinya Karndumri, Khem Upathambhakul

备注：
29 pages, no figures, typos corrected and a few references added
发表信息：
Phys. Rev. D 93, 125017 (2016)
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摘要：

我们研究物质耦合$N=3$规范超引力在四维与各种半单规范组。当耦合到$n$矢量多重态时，规范超引力包含$3+n$矢量场和由$SU(3,n)/SU(3)\times SU(n)\times U(1)$陪集流形参数化的$3n$复标量。半单规范群的形式为$G_0\times H\subset SO(3,n)\subset SU(3,n)$，其中$H$是$SO(n+3-\textrm{dim}(G_0))$的紧子群。本文考虑的$G_0$群的形式为$SO(3)$、$SO(3,1)$、$SO(2,2)$、$SL(3,\mathbb{R})$和$SO(2,1)\times SO(2,2)$。我们发现$SO(3)\times SO(3)$，$SO(3,1)$和$SL(3,\mathbb{R})$规范群存在一个极大超对称的$AdS_4$临界点. $SO(2,1)\times SO(2,2)$规范群允许超对称Minkowski真空，而其余规范群允许半超对称域壁真空和超对称性完全破缺的$AdS_4$真空。对于$SO(3)\times SO(3)$规范群，存在另一个具有$SO(3)_{\textrm{diag}}$对称性的超对称$N=3$ $AdS_4$临界点.我们明确给出了详细的研究$AdS_4$临界点之间的各种全息RG流，流到非共形理论和超对称域壁在每个规范组。结果提供了$N=3$ Chern-Simons-Matter理论在三维空间中的引力解释。

英文摘要：

We study matter-coupled $N=3$ gauged supergravity in four dimensions with various semisimple gauge groups. When coupled to $n$ vector multiplets, the gauged supergravity contains $3+n$ vector fields and $3n$ complex scalars parametrized by $SU(3,n)/SU(3)\times SU(n)\times U(1)$ coset manifold. Semisimple gauge groups take the form of $G_0\times H\subset SO(3,n)\subset SU(3,n)$ with $H$ being a compact subgroup of $SO(n+3-\textrm{dim}(G_0))$. The $G_0$ groups considered in this paper are of the form $SO(3)$, $SO(3,1)$, $SO(2,2)$, $SL(3,\mathbb{R})$ and $SO(2,1)\times SO(2,2)$. We find that $SO(3)\times SO(3)$, $SO(3,1)$ and $SL(3,\mathbb{R})$ gauge groups admit a maximally supersymmetric $AdS_4$ critical point. The $SO(2,1)\times SO(2,2)$ gauge group admits a supersymmetric Minkowski vacuum while the remaining gauge groups admit both half-supersymmetric domain wall vacua and $AdS_4$ vacua with completely broken supersymmetry. For the $SO(3)\times SO(3)$ gauge group, there exists another supersymmetric $N=3$ $AdS_4$ critical point with $SO(3)_{\textrm{diag}}$ symmetry. We explicitly give a detailed study of various holographic RG flows between $AdS_4$ critical points, flows to non-conformal theories and supersymmetric domain walls in each gauge group. The results provide gravity duals of $N=3$ Chern-Simons-Matter theories in three dimensions.

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