TL;DR
This paper explores the existence and properties of Kaluza-Klein dyons in string theory, demonstrating their degeneracy aligns with S-duality predictions through analysis of monopole zero modes and harmonic forms.
Contribution
It identifies the zero modes responsible for Kaluza-Klein dyons and confirms their degeneracy matches S-duality expectations in string theory.
Findings
Correct dyon degeneracy confirmed by zero mode analysis
Role of harmonic two form in dyon construction elucidated
Supports S-duality predictions in string compactifications
Abstract
S-duality of hetertotic / type II string theory compactified on a six dimensional torus requires the existence of Kaluza-Klein dyons, carrying winding charge. We identify the zero modes of the Kaluza-Klein monopole solution which are responsible for these dyonic excitations, and show that we get the correct degeneracy of dyons as predicted by S-duality. The self-dual harmonic two form on the Euclidean Taub-NUT space plays a crucial role in this construction.
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