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Abelian instantons over the Chen-Teo AF geometry (2012.12979v1)

Published 23 Dec 2020 in math.DG and gr-qc

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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