U-duality between three and higher dimensional black holes

We show that the D-brane configurations for the five and four-dimensional black holes give the geometry of two and three-dimensional ones as well. The emergence of these lower dimensional black holes from the D-brane configurations for those of higher dimensions comes from the choice of the integration constant of harmonic functions, which decides the asymptotic behavior of the metric and other fields. We show that they are connected by the light cone compactification supplemented with the U-duality transformations. This suggests the possibility that much wider class of black hole solutions of string and M theory can be effectively in the same universality class. In the case considered here, this means that many properties of black holes with three or four charges can be infered from the study of those of the three-dimensional black holes.