Supermembrane actions for Gaiotto-Maldacena backgrounds

We write down the supermembrane actions for M-theory backgrounds dual to general ${\cal N}=2$ four-dimensional superconformal field theories. The actions are given to all orders in fermions and are in a particular $κ$-gauge. When an extra U(1) isometry is present our actions reduce to $κ$-gauge fixed Green-Schwarz actions for the corresponding Type IIA backgrounds.

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