Supermembrane actions for Gaiotto-Maldacena backgrounds

TL;DR

This paper derives supermembrane actions for M-theory backgrounds related to ${ m ext{AdS}}_5$ solutions dual to ${ m ext{N}}=2$ superconformal field theories, including all fermionic orders and reductions to Type IIA when U(1) symmetry exists.

Contribution

It provides explicit supermembrane actions for a broad class of ${ m ext{AdS}}_5$ backgrounds dual to ${ m ext{N}}=2$ SCFTs, extending previous formulations to all fermionic orders.

Findings

Supermembrane actions are constructed for ${ m ext{AdS}}_5$ backgrounds dual to ${ m ext{N}}=2$ SCFTs.

Actions are valid to all orders in fermions and in a specific $oldsymbol{ ext{kappa}}$-gauge.

Reductions to Type IIA backgrounds are achieved when an extra U(1) isometry is present.

Abstract

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 $\kappa$-gauge. When an extra U(1) isometry is present our actions reduce to $\kappa$-gauge fixed Green-Schwarz actions for the corresponding Type IIA backgrounds.