# What is the “symplectic duality” between holomorphic symplectic manifolds? Where can I read more about it?

I'm recently working on something called 3d mirror symmetry in QFT literature, which involves two hyperkähler manifolds. There seems to be a corresponding(?) mathematical theory called symplectic duality, pursued by Braden, Licata, Proudfoot and Webster.

Where can I read about it? The only thing I could find so far is the proposal by Proudfoot et al. I'm particularly intrigued by the fifth example in page. 7, which says

More generally, the moduli space of $G$-instantons on a crepant resolution of $\mathbb{C}^2/\Gamma$ is dual to the moduli space of $G'$-instantons on a crepant resolution of $\mathbb{C}^2/\Gamma'$, where $G$ is matched to $\Gamma'$ and $G'$ is matched to $\Gamma$ via the McKay correspondence.

Where can I read about this duality, in particular the case when neither $G$ nor $G'$ is of type $A$?

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