Before revision:  We show this motion to be subdiffusive described by \langle X^2 (t)\rangle \sim t^{\alpha_F} with \alpha_F close to 0.4.
After revision:  Simulations starting from different entanglement-free initial states show good convergence which provides evidence supporting the existence of unique metastable fractal globule state. We show monomer motion in this state to be sub-diffusive described by \langle X^2 (t)\rangle \sim t^{\alpha_F} with \alpha_F close to 0.4.