We classify the translators to the flows by sub-affine-critical powers of Gauss curvature. This corresponds to the classification of entire solutions to degenerate Monge-Ampere equation $\det D^2u = (1+|Du|^2)^{2-\frac{1}{2\alpha}}$ on $\mathbb{R}^2$ for $0<\alpha<1/4$. For the affine-critical-case $\det D^2u =1$, the classical result by Jorgens, Calabi and Pogorelov shows every solution must be a convex paraboloid and hence the level sets are homothetic ellipses. In our case, the level sets of given solution converge to a circle or a curve with $k$-fold symmetry for some $k>2$. These curves are closed shrinking curves to the $\frac {\alpha}{1-\alpha}$-curve shortening flow, classified by B. Andrews in 2003. This is a joint work with K. Choi and S. Kim.