Near-BPS-saturated rotating electrically charged black holes as string states

We construct generating solutions for general D-dimensional (4 less than or equal to D less than or equal to 9) rotating, electrically charged, black holes in the effective action of toroidally compactified heterotic (or ?Lpe IIA) string. The generating solution is parameterized by the ADM mass, two electric charges and [D-1/2] angular momenta (as well as the asymptotic values of one toroidal modulus and the dilaton field). For D greater than or equal to 6, those are generating solutions for general black holes in toroidally compactified heterotic (or type IIA) string. Since in the BPS-limit (extreme limit) these solutions have singular horizons or naked singularities, we address the near extreme solutions with all the angular momenta small enough. In this limit, the thermodynamic entropy can be cast in a suggestive form, which has a qualitative interpretation as microscopic entropy of (near)-BPS-saturated charged string states of toroidally compactified heterotic string, whose target-space angular momenta are identified as [D-1/2] U(1) left-moving world-sheet currents.