A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded

Abstract

A superpotential deformation that is cubic in one of the chiral superfields of ABJM makes the latter theory flow into a new, $\mathcal{N}=2$ superconformal phase. This is holographically dual to a warped ${\text{AdS}}_4{\times }_w{S}^7$ solution of M-theory equipped with a squashed and stretched metric on $S^7$. We determine the spectrum of spin-2 operators of the cubic deformation at low energies by computing the spectrum of Kaluza-Klein (KK) gravitons over the dual AdS${}_4$ solution. We calculate, numerically, the complete graviton spectrum and, analytically, the spectrum of gravitons that belong to short multiplets. We also use group theory to assess the structure of the full KK spectrum, and conclude that $\mathcal{N}=2$ supermultiplets cannot be allocated KK level by KK level. This phenomenon, usually referred to as "space invaders scenario", is also known to occur for another ${\text{AdS}}_4$ solution based on a different squashed $S^7$.

35 pages, 6 figures, 12 tables, typos fixed, additional clarifications added. To appear on JHEP

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• Kaluza-Klein Spectrometry for Supergravity
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• On AdS${}_7$ stability
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• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• Universal properties of Kaluza-Klein gravitons

Cited by in corpus (9)

• Holographic Evidence for Non-Supersymmetric Conformal Manifolds
• Global Properties of the Conformal Manifold for S-Fold Backgrounds
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Super-Chern-Simons spectra from Exceptional Field Theory
• Warp factor and the gravitational wave spectrum
• Monopole operators and symmetry enhancement in ABJM theory revisited
• $\mathcal{N}=1$ S-fold spectroscopy