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arXiv · 0904.1009

The Squashed, Stretched, and Warped Gets Perturbed

Igor R. Klebanov·Silviu S. Pufu·Fabio D. Rocha
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Abstract

We use direct Kaluza-Klein reduction to calculate the spectrum of spin-2 modes around a warped product of AdS_4 and a certain squashed and stretched 7-sphere. The modes turn out to be polynomials in the four complex variables parameterizing the sphere, and their complex conjugates. The background, which possesses U(1)_R x SU(3) symmetry, has been conjectured to be dual to a U(N) x U(N) N=2 superconformal Chern-Simons theory with a sextic superpotential. We find that the U(1)_R x SU(3) quantum numbers of spin-2 modes are in agreement with those determined in arXiv:0809.3773 through a group theoretic method, and with the spectrum of spin-2 gauge invariant operators in the Chern-Simons gauge theory. The mass-squared in AdS_4 is found to be quadratic in these quantum numbers and the Kaluza-Klein excitation number. Most of the spin-2 operators belong to long multiplets, and we determine their dimensions via the AdS/CFT correspondence.

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Igor R. Klebanov, Silviu S. Pufu, Fabio D. Rocha. 2009-04-06. The Squashed, Stretched, and Warped Gets Perturbed. https://doi.org/10.1088/1126-6708%2F2009%2F06%2F019

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