  In the present paper we show that the complete list of special Killing forms
on the 5-dimensional Sasaki-Einstein spaces $Y^{p,q}$ can be extracted using
the symplectic potential and the classical Delzant construction. The results
achieved here agree with previous ones obtained by direct computation, proving
the reliability of the method which stands in fact as a general algorithm for
toric Sasaki-Einstein manifolds. Finally, we discuss the integrability of
geodesic motion in $Y^{p,q}$ spaces.
