Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$

We investigate the algebraic curve for string in $Sc{h}_5\times S^5$. We compute the semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$ from the algebraic curve. We compare our results with the anomalous dimensions in $sl(2)$ sector of the null dipole deformation of $\mathcal{N}=4$ super Yang-Mills theory.