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Spectrum universality properties of holographic Chern-Simons theories

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Pang,  Yi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Varela,  Oscar
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1711.07781.pdf
(Preprint), 466KB

JHEP01(2018)061.pdf
(Publisher version), 759KB

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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.