Perturbing Around A Warped Product Of AdS4 and Seven-Ellipsoid

Abstract

We compute the spin-2 Kaluza-Klein modes around a warped product of AdS4 and a seven-ellipsoid. This background with global G2 symmetry is related to a U(N) x U(N) N=1 superconformal Chern-Simons matter theory with sixth order superpotential. The mass-squared in AdS4 is quadratic in G2 quantum number and KK excitation number. We determine the dimensions of spin-2 operators using the AdS/CFT correspondence. The connection to N=2 theory preserving SU(3) x U(1)R is also discussed.

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