Self-Dual Fields Harbored by a Kerr-Taub-bolt Instanton

TL;DR

This paper constructs a new exact self-dual Abelian gauge field solution on the Kerr-Taub-bolt instanton, expanding the understanding of gauge fields on complex gravitational instantons with non-self-dual curvature.

Contribution

It introduces a novel exact self-dual gauge field solution on the Kerr-Taub-bolt instanton, a generalized asymptotically flat instanton with non-self-dual curvature.

Findings

Constructed a square integrable harmonic form on the Kerr-Taub-bolt space.

Demonstrated the existence of self-dual Abelian gauge fields on this instanton.

Extended the class of known solutions in gravitational instanton backgrounds.

Abstract

We present a new exact solution for self-dual Abelian gauge fields living on the space of the Kerr-Taub-bolt instanton, which is a generalized example of asymptotically flat instantons with non-self-dual curvature, by constructing the corresponding square integrable harmonic form on this space.