Taub--NUT Dyons in Heterotic String Theory

TL;DR

This paper constructs and analyzes dyonic Taub--NUT solutions within heterotic string theory, revealing their duals and connections to conformal field theories, thus advancing understanding of stringy gravitational solutions.

Contribution

It introduces a method to generate dyonic Taub--NUT solutions with non-trivial fields using $O(1,1)$ transformations and explores their duals via $SL(2, line)$ transformations, linking to conformal field theory limits.

Findings

Constructed dyonic Taub--NUT solutions with non-trivial dilaton, axion, and gauge fields.

Derived electromagnetic dual solutions using $SL(2, line)$ transformations.

Connected extremal dual solutions to low energy limits of exact conformal field theories.

Abstract

Starting with the Taub--NUT solution to Einstein's equations, together with a constant dilaton, a dyonic Taub--NUT solution of low energy heterotic string theory with non--trivial dilaton, axion and $U(1)$ gauge fields is constructed by employing $O(1,1)$ transformations. The electromagnetic dual of this solution is constructed, using $SL(2,\rline)$ transformations. By an appropriate change to scaled variables, the extremal limit of the dual solution is shown to correspond to the low energy limit of an exact conformal field theory presented previously.