Black-hole–wave duality in string theory

Abstract

Extreme four-dimensional dilaton black holes embedded into ten-dimensional geometry are shown to be dual to the gravitational waves in string theory. The corresponding gravitational waves are the generalization of pp-fronted waves, called supersymmetric string waves. They are given by the Brinkmann metric and the two-form field, without a dilaton. The nondiagonal part of the metric of the dual partner of the wave together with the two-form field correspond to the vector field in the four-dimensional geometry of the charged extreme black holes.