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We construct the pp-wave string associated with the Penrose limit of$Y^{p,q}$ and $L^{p,q,r}$ families of Sasaki-Einstein geometries. We identifyin the dual quiver gauge theories the chiral and the non-chiral operators thatcorrespond to the ground state and the first excited states. We present anexplicit identification in a prototype model of $L^{1,7,3}$.Comment: 21 pages, JHEP format, 5 figures, acknowledgement correcte

On the pp-wave limit and the BMN structure of new Sasaki-Einstein spaces