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Journal Article

#### Spectrum universality properties of holographic Chern-Simons theories

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##### Fulltext (public)

1711.07781.pdf

(Preprint), 466KB

JHEP01(2018)061.pdf

(Publisher version), 759KB

##### Supplementary Material (public)

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##### Citation

Pang, Y., Rong, J., & Varela, O. (2018). Spectrum universality properties of holographic
Chern-Simons theories.* Journal of high energy physics: JHEP,* *2018*(01):
061. doi:10.1007/JHEP01(2018)061.

Cite as: http://hdl.handle.net/21.11116/0000-0000-3D55-D

##### 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.