Abelian instantons over the Chen-Teo AF geometry

TL;DR

This paper classifies harmonic 2-forms on the Chen-Teo AF geometry, showing each U(1)-bundle admits a unique anti-self-dual instanton, and computes the Maxwell partition function with a theta term.

Contribution

It provides a complete classification of harmonic 2-forms and explicit anti-self-dual instantons on the Chen-Teo AF geometry, and calculates the Maxwell partition function.

Findings

Unique anti-self-dual instantons for each U(1)-bundle

Explicit coordinate description of instantons

Computed Maxwell partition function with theta term

Abstract

We classify finite energy harmonic 2-forms on the asymptotically flat gravitational instanton constructed by Chen and Teo. We prove that every $U(1)$-bundle admits a unique anti-self-dual Yang-Mills instanton (up to gauge equivalence) which we describe explicitly in coordinates. As an application, we compute the classical partition function for Maxwell theory with theta term.