Fractal dimension of spin glasses interfaces in dimensions $d=2$ and $d=3$ via strong disorder renormalization at zero temperature

For Gaussian Spin Glasses in low dimensions, we introduce a simple Strong Disorder renormalization procedure at zero temperature. In each disordered sample, the difference between the ground states associated to Periodic and Anti-Periodic boundary conditions defines a system-size Domain Wall. The numerical study in dimensions $d=2$ (up to sizes ${2048}^2$) and $d=3$ (up to sizes ${128}^3$) yields fractal Domain Walls of dimensions $d_s(d=2)\simeq 1.27$ and $d_s(d=3)\simeq 2.55$ respectively.