Information geometry of U(1) instantons on self-dual manifolds

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We use the information metric to investigate the moduli space of a U(1) instanton on (anti)self-dual manifolds, finding an $AdS$ geometry similar to that for the moduli space of a Yang-Mills instanton on flat space. We discuss our results from the perspective of gauge/gravity duality.
10 pages; v2:some clarification and reference added

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