Abstract
We give a master formula for the spin-2 spectrum of a class of three-dimensional Chern-Simons theories at large N , with flavour group containing SU(3), that arise as infrared fixed points of the D2-brane worldvolume field theory and have AdS4 duals in massive type IIA supergravity. We use this formula to compute the spin-2 spectrum of the individual theories, discuss its supermultiplet structure and, for an \( \mathcal{N} \) = 2 theory in this class, the spectrum of protected operators with spin 2. We also show that the trace of the Kaluza-Klein graviton mass matrix on the dual AdS4 solutions enjoys certain universality properties. These are shown to relate the class of AdS4 massive IIA solutions under consideration to a similar class of AdS4 solutions of D = 11 supergravity with the same symmetries. Finally, for the \( \mathcal{N} \) = 2 AdS4 solution in this class, we study the entire spectrum at lowest Kaluza-Klein level and relate it to an analogue solution in D = 11 supergravity.
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Pang, Y., Rong, J. & Varela, O. Spectrum universality properties of holographic Chern-Simons theories. J. High Energ. Phys. 2018, 61 (2018). https://doi.org/10.1007/JHEP01(2018)061
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DOI: https://doi.org/10.1007/JHEP01(2018)061