Black-Hole-Wave Duality in String Theory

TL;DR

This paper demonstrates a duality between 4D dilaton black holes and supersymmetric string waves in string theory, revealing a novel connection between black hole solutions and gravitational wave configurations.

Contribution

It establishes a new duality linking extreme black holes to supersymmetric string waves within string theory, expanding understanding of black hole and gravitational wave relationships.

Findings

Extreme 4D dilaton black holes are dual to supersymmetric string waves.

The dual gravitational waves are generalizations of pp-fronted waves.

The duality involves specific metric and two-form field configurations.

Abstract

Extreme 4-dimensional dilaton black holes embedded into 10-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 Brinkmann metric and the two-form field, without a dilaton. The non-diagonal part of the metric of the dual partner of the wave together with the two-form field correspond to the vector field in 4-dimensional geometry of the charged extreme black holes.