Lifshitz solutions and the effects of high-order operators

e study the effects of high-order operators on the nonrelativistic Lifshitz holography inthe framework of the Ho\v{r}ava-Lifshitz (HL) theory of gravity, which naturally contains high-order operatorsin order for the theory to be power-counting renormalizable, and provides an ideal place for such studies. Inparticular, we show that the Lifshitz spacetime is still a solution of the full theory of the HL gravity. Theeffects of the high-order operators on the spacetime itself is simply to shift the Lifshitz dynamical exponent.