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We investigate the holographic dual to supergravity instanton solutions in$\rm AdS_5\times S^5/\mathbb{Z}_k$, which are described entirely in terms ofgeodesics on the AdS moduli space. These instantons are expected to beholographically dual to instantons in an $\mathcal{N}=2$ necklace quiver gaugetheory in four dimensions with $k$ gauge nodes, at large N. For thesupersymmetric instantons we find a precise match between the on-shell actionsand the vevs of $\text{Tr}[F^2]$ and $\text{Tr}[F\wedge F]$ computed on bothsides of the duality. This correspondence requires an exact identificationbetween the massless supergravity scalars and the dual gauge couplings which wegive in detail. We also find a candidate for the supergravity dual of aquasi-instanton in the quiver theory, which is a non-supersymmetric extremalsolution.

The holographic dual to supergravity instantons in $\rm AdS_5\times S^5/\mathbb{Z}_k$