AdS4/CFT3 squashed, stretched and warped

被引:73
作者
Klebanov, Igor R. [1 ,2 ]
Klose, Thomas [1 ,2 ]
Murugan, Arvind [1 ]
机构
[1] Princeton Univ, Joseph Henry Labs, Princeton, NJ 08544 USA
[2] Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2009年 / 03期
基金
美国国家科学基金会;
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; M-Theory;
D O I
10.1088/1126-6708/2009/03/140
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of N = 8 gauged supergravity potential which possesses N = 2 supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it describes a warped product of AdS(4) and a certain squashed and stretched 7-sphere. We find quantum numbers in agreement with those of the gauge invariant operators in the N = 2 superconformal Chern-Simons theory recently proposed to be the dual of this M-theory background. This theory is obtained from the U(N) x 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) x 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) x U(2) ABJM theory for k = 1, 2; it makes its similarity to and subtle difference from the BLG theory quite explicit.
引用
收藏
页数:30
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