Are There Four-Dimensional Small Black Rings?

In d > 4 dimensions, one can argue for the existence of small black rings using a scaling argument. We apply the same scaling argument to the d = 4 case and demonstrate that it fails to say anything about the existence of d = 4 small black rings, because stringy corrections get out of control. General relativity theorems say that there does not exist a black hole with toroidal topology for d = 4, but we interpret this as saying that, for d = 4 small black rings, stringy corrections are crucial which invalidate the assumptions those theorems are based on.