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In this note, we discuss the renormalizability of Horava-Lifshitz-typegravity theories. Using the fact that Horava-Lifshitz gravity is very closelyrelated to the stochastic quantization of topologically massive gravity, weshow that the renormalizability of HL gravity only depends on therenormalizability of topologically massive gravity. This is a consequence ofthe BRST and time-reversal symmetries pertinent to theories satisfying thedetailed balance condition.

On the Renormalizability of Horava-Lifshitz-type Gravities