期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1088/1126-6708/2009/03/140
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; M-Theory
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.
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