AdS4/CFT3 squashed, stretched and warped
AdS4/CFT3 squashed, stretched and warped
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AdS4/CFT3 被挤压、拉伸和扭曲
DOI：
10.1088/1126-6708/2009/03/140
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发表时间：
2008
影响因子：
5.4
通讯作者：
A. Murugan
中科院分区：
文献类型：
--
作者：
I. Klebanov;T. Klose;A. Murugan
利用群论方法计算了具有2超对称和SU(3)全局对称的超重力势= 8极值附近的短重态谱。在提升到m理论后，它描述了一个AdS4的翘曲产物和一个被压缩和拉伸的7球。我们发现量子数与最近提出的m理论背景对偶的= 2超共形chen - simons理论中的规范不变量算子的量子数一致。该理论是在U(N) × U(N)理论的基础上，通过对其中一个超场中的超势进行二次项的变形而得到的。为了明确地构建这个模型，我们需要使用单极算子，但我们对单极算子还缺乏完全的理解。然而，对于U(2) × U(2)规范理论，我们提出了具有许多期望性质的单极算子的形式。特别地，这一建议暗示了k = 1,2时U(2) × U(2) ABJM理论的增强对称性；这使得它与BLG理论的相似之处和细微差别非常明显。
We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of = 8 gauged supergravity potential which possesses = 2 supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it describes a warped product of AdS4 and a certain squashed and stretched 7-sphere. We find quantum numbers in agreement with those of the gauge invariant operators in the = 2 superconformal Chern-Simons theory recently proposed to be the dual of this M-theory background. This theory is obtained from the U(N) × U(N) theory through deforming the superpotential by a term quadratic in one of the superfields. To construct this model explicitly, one needs to employ monopole operators whose complete understanding is still lacking. However, for the U(2) × U(2) gauge theory we make a proposal for the form of the monopole operators which has a number of desired properties. In particular, this proposal implies enhanced symmetry of the U(2) × U(2) ABJM theory for k = 1,2; it makes its similarity to and subtle difference from the BLG theory quite explicit.