Rotating black holes which saturate a Bogomol'nyi bound.

We construct and study the electrically charged, rotating black hole solution in heterotic string theory compactified on a (10 − D) dimensional torus. This black hole is characterized by its mass, angular momentum, and a (36 − 2D) dimensional electric charge vector. One of the novel features of this solution is that for D > 5, its extremal limit saturates the Bogomol’nyi bound. This is in contrast with the D = 4 case where the rotating black hole solution develops a naked singularity before the Bogomol’nyi bound is reached. The extremal black holes can be superposed, and by taking a periodic array in D > 5, one obtains effectively four dimensional solutions without naked singularities.