### Abstract

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 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 = 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.

Original language | English (US) |
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Article number | 140 |

Journal | Journal of High Energy Physics |

Volume | 2009 |

Issue number | 3 |

DOIs | |

State | Published - Jul 16 2009 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- AdS-CFT correspondence
- Gauge-gravity correspondence
- M-Theory

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## Cite this

_{4}/CFT

_{3}squashed, stretched and warped.

*Journal of High Energy Physics*,

*2009*(3), [140]. https://doi.org/10.1088/1126-6708/2009/03/140