Abelian instantons over the Chen-Teo AF geometry
Differential Geometry
2021-07-14 v1 General Relativity and Quantum Cosmology
Abstract
We classify finite energy harmonic 2-forms on the asymptotically flat gravitational instanton constructed by Chen and Teo. We prove that every -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.
Cite
@article{arxiv.2012.12979,
title = {Abelian instantons over the Chen-Teo AF geometry},
author = {Thomas John Baird and Hari K. Kunduri},
journal= {arXiv preprint arXiv:2012.12979},
year = {2021}
}