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High Energy Physics - Theory, hep-th
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 AdS$_4$ 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 ${\cal
N}=2$ 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
AdS$_4$ solutions enjoys certain universality properties. These are shown to
relate the class of AdS$_4$ massive IIA solutions under consideration to a
similar class of AdS$_4$ solutions of $D=11$ supergravity with the same
symmetries. Finally, for the ${\cal N}=2$ AdS$_4$ 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.
