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- Title
The squashed, stretched, and warped gets perturbed.
- Authors
Klebanov, Igor R.; Pufu, Silviu S.; Rocha, Fabio D.
- Abstract
We use direct Kaluza-Klein reduction to calculate the spectrum of spin-2 modes around a warped product of AdS4 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 × SU(3) symmetry, has been conjectured to be dual to a U(N) × U(N) 풩 = 2 superconformal Chern-Simons theory with a sextic superpotential. We find that the U(1)R × 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 AdS4 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.
- Publication
Journal of High Energy Physics, 2009, Vol 2009, Issue 6, p019
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1088/1126-6708/2009/06/019