The Heterotic Dyonic Instanton

TL;DR

This paper explores the properties of dyonic instantons, revealing their angular momentum characteristics, expanding into shells at high charge, and constructing new supersymmetric solutions with implications for heterotic string theory.

Contribution

It introduces a novel class of multi dyonic instantons and extends them to supersymmetric, non-singular solutions in supergravity and heterotic string contexts.

Findings

Angular momentum form is anti-self-dual with eigenvalues equal to electric charge.

High-charge instantons expand into hyper-spherical shells.

New heterotic string solitons derived from self-gravitating dyonic instantons.

Abstract

The static Yang-Mills-Higgs dyonic instanton is shown to have a non-vanishing, but anti-self-dual, angular momentum 2-form with skew eigenvalues equal to the electric charge; for large charge the angular momentum causes the instanton to expand into a hyper-spherical shell. A class of exact multi dyonic instantons is then found and then generalized to a new class of 1/4 supersymmetric, non-singular, stationary, exact solutions of the ten-dimensional supergravity/Yang-Mills theory. These self-gravitating dyonic instantons yield new heterotic string solitons, to leading order in the inverse string tension.