Spectrum universality properties of holographic Chern-Simons theories

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 $\mathcal{N}=2$ 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 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 $\mathcal{N}=2$ 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.

35 pages, 4 tables. v2: Reference added, minor typos corrected and a few clarifications made; version published in JHEP

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• Generalized non-supersymmetric flux vacua
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Spin-2 spectrum of defect theories
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Symplectic Deformations of Gauged Maximal Supergravity
• New supersymmetric AdS4 type II vacua
• N=2 solutions of massive type IIA and their Chern-Simons duals
• On the spin-2 Kaluza-Klein spectrum of AdS4 x S2(B4)
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Cited by in corpus (21)

• Kaluza-Klein Spectrometry for Supergravity
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• Brane-jet stability of non-supersymmetric AdS vacua
• Perturbing AdS${}_6{\times }_w{S}^4$: linearised equations and spin-2 spectrum
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Spin 2 operators in holographic 4d $\mathcal{N}=2$ SCFTs
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Universal properties of Kaluza-Klein gravitons
• Super-Chern-Simons spectra from Exceptional Field Theory
• Minimal $D=4$ truncations of type IIA
• Leaps and bounds towards scale separation
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• Halving ISO(7) supergravity
• On the U(1)${}^2$-invariant sector of dyonic maximal supergravity
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry