Kaluza-Klein and H-Dyons in String Theory

TL;DR

This paper constructs explicit dyonic solutions in string theory compactified on T^6, demonstrating S-duality symmetry and analyzing their charge spectrum, mass, and stability within an SL(2,R) invariant framework.

Contribution

It explicitly formulates dyonic solutions in string theory with manifest SL(2,R) invariance, linking Kaluza-Klein and H-monopoles through S-duality.

Findings

Constructed explicit dyonic solutions with SL(2,R) symmetry.

Analyzed the Schwarz-Sen charge spectrum and BPS mass formula.

Discussed the stability of the dyonic states.

Abstract

Kaluza-Klein monopole and H-monopole solutions, which are T-dual to each other, are the well-known solutions of string theory compactified on $T^6$. Since string theory in this case has an S-duality symmetry, we explicitly construct the corresponding dyonic solutions by expressing the $D = 4$ string effective action in a manifestly $SL(2, R)$ invariant form with an $SL(2, R)$ invariant constraint. The Schwarz-Sen charge spectrum, the BPS saturated mass formula as well as the stability of these states are discussed briefly.