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 α’ 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.