Abelian instantons over the Chen-Teo AF geometry

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.

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Cited by in corpus (2)

• Existence and uniqueness of asymptotically flat toric gravitational instantons
• Harmonic forms on asymptotically AdS metrics