---
abstract: 'We show a uniqueness theorem for charged rotating black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and spherical topology of horizon cross-sections, we prove that an asymptotically flat, stationary charged rotating black hole with finite temperature in five-dimensional Einstein-Maxwell-Chern-Simons theory is uniquely characterized by the mass, charge, and two independent angular momenta and therefore is described by the five-dimensional Cveti[č]{}-Youm solution with equal charges. We also discuss a generalization of our uniqueness theorem for spherical black holes to the case of black rings.'
author:
- Shinya Tomizawa
title: ' Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity '
---

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Introduction {#sec:intro}
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In string theory and various related contexts, higher dimensional black holes and other extended black objects have played an important role. In particular, physics of black holes in five-dimensional Einstein-Maxwell-Chern-Simons (EMCS) theory has recently been the subject of increased attention, as the five-dimensional EMCS theory describes the bosonic sector of five-dimensional minimal supergravity, a low-energy limit of string theory. Various types of black hole solutions in EMCS-theory [@Gauntlett0; @BMPV; @CY96; @CLP; @CCLP; @Bena2; @EEF; @Elvang; @EEMR; 