## Abstract

Corrado, Pilch and Warner found in 2001 the second 11-dimensional solution where the deformed geometry of S^{7} in the lift contains S^{2} × S^{2}. We identify the gauge dual of this background with the theory described by Franco, Klebanov and Rodriguez-Gomez recently. It is the U(N) × U(N) × U(N) gauge theory with two SU(2) doublet chiral fields B_{1} transforming in the , B_{2} transforming in the , C _{1} in the and C_{2} in the as well as an adjoint field Φ in the (1, adj, 1) representation. By adding the mass term for adjoint field Φ, the detailed correspondence between fields of AdS_{4} supergravity and composite operators of the IR field theory is determined. Moreover, we compute the spin-2 KK modes around a warped product of AdS _{4} and a squashed and stretched seven-manifold. This background with global SU(2) × SU(2) × U(1)_{R} symmetry is related to a U(N) × U(N) × U(N) superconformal Chern-Simons matter theory with eighth-order superpotential and Chern-Simons level (1, 1, -2). The mass-squared in AdS_{4} depends on SU(2) × SU(2) × U(1)_{R} quantum numbers and the KK excitation number. The dimensions of spin-2 operators are found.

Original language | English |
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Article number | 035009 |

Journal | Classical and Quantum Gravity |

Volume | 27 |

Issue number | 3 |

DOIs | |

State | Published - 2010 |

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