Exact SU(2)×U(1) stringy black holes

Abstract

Extreme magnetic dilaton black holes are promoted to exact solutions of heterotic string theory with unbroken supersymmetry. With account taken of ${\mathrm{\alpha }}^{\mathcal{’}}$ corrections this is accomplished by supplementing the known solutions with SU(2) Yang-Mills vectors and scalars in addition to the already existing Abelian U(1) vector field. The solution has a simple analytic form and includes multiple black holes. The issue of exactness of other black-hole-type solutions, including extreme dilaton electrically charged black holes and Taub–Newman-Unti-Tamburino solutions, is discussed.