  In this note, we discuss the renormalizability of Horava-Lifshitz-type
gravity theories. Using the fact that Horava-Lifshitz gravity is very closely
related to the stochastic quantization of topologically massive gravity, we
show that the renormalizability of HL gravity only depends on the
renormalizability of topologically massive gravity. This is a consequence of
the BRST and time-reversal symmetries pertinent to theories satisfying the
detailed balance condition.
