Spin-2 spectrum of six-dimensional field theories

TL;DR

This paper investigates the spectrum of spin-2 excitations in six-dimensional supersymmetric conformal field theories using gravity duals, revealing bounds and explicit mass spectra for certain solutions.

Contribution

It provides a detailed analysis of the spin-2 mass spectrum in 6D SCFTs' gravity duals, including bounds, short multiplet masses, and explicit Kaluza-Klein modes.

Findings

Mass spectrum satisfies a unitarity bound.

Explicit Kaluza-Klein modes obtained for certain solutions.

Dual operators described in effective SCFT terms.

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.