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<img src='content_image/315942.jpg'>

where w ( r ) is the weighting function associated with the basis functions g$_{n}$ . 

The multiplicity is simply given by c 2 n multiplied by (2J+1) where J is the spin of the hadron. 

There are a number of special cases, which we address in turn. 

## Pseudo-Goldstone Bosons 

The pseudo-Goldstones are described by a separate holographic field, θ , in our model and are represented by functions f$_{n}$ ( r ). The relative contributions the fields make to the stress-energy tensor are 

<img src='content_image/315943.jpg'>

Δ$_{1}$ , Δ$_{2}$ are functions of r , completely calculable from the holographic model, using the usual definition of the stress-energy tensor: 

<img src='content_image/315944.jpg'>

To ensure the fields A$_{µ}$ and θ see the same contribution to the stress- energy tensor we must rescale the Gaussian. If our standard Gaussian is Ψ( r ) then for the energy to be equally divided between all sectors we require ∂$_{r}$θ = √ Δ 2 Δ $_{1}$∂$_{r}$ Ψ. 

## Strangeness Suppression Factor 

Since the underlying asymptotically free dynamics will distinguish the strange quark from the up and down quarks, we also multiply the Gaussian by a factor of ( γ$_{s}$ ) σ where σ is the strangeness content of the stack. γ$_{s}$ is then the 

