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.
Highlights
Having identified this holographic duality, we can use it to compute certain features of the field theory by performing gravity computations
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
Summary
We review the AdS7 solutions of type IIA supergravity discovered first numerically in [7] and presented later analytically in [8]. The solutions are characterized by a single function β of the coordinate y which parametrizes I This function governs the way the S2 shrinks at the endpoints of the interval, determining if the geometry there is regular or singular, and the type of the singularity. For a certain range of this parameter there are solutions with an O6-plane singularity at one endpoint and a D6-brane singularity at the other. There are solutions with D6-brane singularities at both endpoints These two families of solutions meet at a single value of the parameter, where the solution is regular at one pole and has a D6-brane singularity at the other pole. The families of solutions described above can be expanded by introducing D8-brane sources These have the effect of changing F0 as they are crossed; in each region between two D8-branes, the parameters of β have different values. The analytic expressions for more complicated solutions with D8-branes can be found in complete generality in [9]
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