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We propose a new extended theory of Ho\v{r}ava gravity based on the followingthree conditions: (i) UV completion, (ii) healthy IR behavior and (iii) astable vacuum state in quantized version of the theory. Compared with otherextended theories, we stress that any realistic theory of gravity must havephysical ground states when quantization is performed. To fulfill the threeconditions, we softly break the detailed balance but keep its basic structureunchanged. It turns out that the new model constructed in this way can avoidthe strong coupling problem and remains power-counting renormalizable,moreover, it has a stable vacuum state by an appropriate choice of parameters.

Extended Ho\v{r}ava Gravity with Physical Ground-State Wavefunction