To quantize the gravity like the other three fundamental fields has been one of the most important goals of theoretical physics. Since Einstein's theory of gravity is known to be impossible to quantize in the standard manner, there have been many alternatives proposed. Among those the super string theory attracts many researchers because it's extraordinary nature in both physical and mathematical points of view. However, it is not clear yet whether the theory can describe the four dimensional world properly.
In the meanwhile we have been trying to quantize the Einstein gravity non-perturbatively, by discretizing the space-time into lattice and employing the numerical method. We have been successful to simulate the fluctuating space with required properties for the existence of a continuum theory. The nature of resultant space-time has the common properties to the 4 dimensional conformal gravity. This success opens new applications in the cosmology, for examples the microwave background radiation, the dark matter and the dark energy.