String-string duality for some black hole type solutions

TL;DR

This paper explores string duality between heterotic and IIA strings in six dimensions, transforming exact black hole solutions and analyzing their properties after reduction to four dimensions, revealing invariant mass and supersymmetry features.

Contribution

It provides explicit formulas for fields after duality transformation and shows the mapping of electric solutions to dyonic ones while preserving mass and supersymmetry.

Findings

Electric solutions map to dyonic solutions under duality.

Mass remains invariant through the duality transformation.

Solutions preserve short N=4 SUSY multiplets and saturate Bogomol'nyi bounds.

Abstract

We apply the duality transformation relating the heterotic to the IIA string in 6D to the class of exact string solutions described by the chiral null model and derive explicit formulas for all fields after reduction to 4D. If the model is restricted to asymptotically flat black hole type solutions with well defined mass and charges the purely electric solutions on the heterotic side are mapped to dyonic ones on the IIA side. The mass remains invariant. Before and after the duality transformation the solutions belong to short $N=4$ SUSY multiplets and saturate the corresponding Bogomol'nyi bounds.