Chiral gravitational waves from z=2 Ho\v{r}ava-Lifshitz gravity

We construct the chiral gravitational waves from the $z=2$ Ho\v{r}ava-Lifshitz gravity with gravitational Chern-Simons term in the de Sitter and Minkowski backgrounds. These gravitational waves which show a feature of the Ho\v{r}ava-Lifshitz gravity may be related to the generalized uncertainty principle. In addition, we find the classical and quantum IR-UV transition rules in the $z=2$ Ho\v{r}ava-Lifshitz gravity.