@Elvang3; @Gaiotto; @IM; @IKMT; @IKMT2; @NIMT; @TIMN; @MINT; @TI; @TYM; @GS; @TIKM; @T] have so far been found, with the help of, in part, recent development of solution generating techniques [@Belinskii; @solitonbook; @Tomizawa; @Tomizawa2; @Tomizawa3; @Tomizawa4; @Iguchiboost; @Pomeransky:2005sj; @Koikawa; @Azuma; @MishimaIguchi; @Iguchi; @EK07; @CAM; @BCCGSW; @GS; @Yaza06a; @Yaza06b; @Yaza08]. However, the classification of those black hole solutions has not been achieved yet. The purpose of this paper is to show a uniqueness theorem for charged rotating black holes in five-dimensional EMCS theory, as a partial solution to the black hole classification problem in string theory.

It is now evident that even within the framework of vacuum Einstein gravity, there is a much richer variety of black hole solutions in higher dimensions [@Myers:1986un; @Emparan:2001wn; @MishimaIguchi; @Pom; @diring; @saturn; @Izumi; @bi], the classification of which still remains a major open issue. As shown by Emparan and Reall [@Emparan:2001wn], five-dimensional vacuum Einstein gravity admits the co-existence of a rotating spherical hole and two rotating rings with the same conserved charges, illustrating explicitly the non-uniqueness property in higher dimensions. However, it is possible to show type of uniqueness theorems for some restricted cases in which certain additional conditions are imposed on some parameters/properties, other 