Spin-2 spectrum of six-dimensional field theories

Abstract

We analyze the mass spectrum of spin-2 excitations around the gravity duals of "linear quiver" supersymmetric conformal field theories (SCFT's) in six dimensions. We show that for the entire family of gravity solutions it satisfies a bound which corresponds to a unitarity bound for the scaling dimension of the dual field theory operators. We determine the masses of excitations which belong to short multiplets, and for certain gravity solutions we obtain the Kaluza-Klein modes and the corresponding mass spectrum, fully and explicitly. Finally, we discuss an intuitive picture of the dual operators in terms of the effective descriptions of the SCFT's.

29 pages; v2: minor changes, references added

References in corpus (7)

• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Deformations of Superconformal Theories
• Holography for (1,0) theories in six dimensions
• Spin-2 spectrum of defect theories
• 6d holographic anomaly match as a continuum limit
• On the spin-2 Kaluza-Klein spectrum of AdS4 x S2(B4)
• A new 6d fixed point from holography

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• The non-Integrability of Strings in Massive Type IIA and their Holographic duals
• On AdS${}_7$ stability
• 6d surface defects from massive type IIA
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• Spectrum universality properties of holographic Chern-Simons theories
• Perturbing AdS${}_6{\times }_w{S}^4$: linearised equations and spin-2 spectrum
• Spin 2 operators in holographic 4d $\mathcal{N}=2$ SCFTs
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• Universal properties of Kaluza-Klein gravitons
• Leaps and bounds towards scale separation
• Spin-2 excitations in Gaiotto-Maldacena solutions
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions
• On generalised D1-D5 near horizons and their spectra
• Fragmentation and defragmentation of strings in type IIA and their holographic duals
• Harmonic functions and gravity localization
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs