Abelian instantons over the Chen-Teo AF geometry

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 contribution to partition function for Maxwell theory with theta term.