Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
Changhyun Ahn, Kyungsung Woo

TL;DR
This paper analyzes the spectrum of spin-2 modes in a warped AdS_4 background with a seven-ellipsoid, linking supergravity solutions to dual superconformal field theories via the AdS/CFT correspondence.
Contribution
It computes the Kaluza-Klein spectrum around a warped AdS_4 and seven-ellipsoid background with G_2 symmetry, connecting supergravity modes to dual N=1 superconformal theories.
Findings
Determined the mass-squared spectrum in AdS_4 for spin-2 modes.
Calculated the dimensions of dual spin-2 operators.
Explored the relation to N=2 theories with SU(3) x U(1)_R symmetry.
Abstract
We compute the spin-2 Kaluza-Klein modes around a warped product of AdS_4 and a seven-ellipsoid. This background with global G_2 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 AdS_4 is quadratic in G_2 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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