N=4 d=3 susy algebra

Question

Does anybody know how to derive the $\mathcal{N}=4$ d=3 susy algebra doing a dimensional reduction from the most famous $\mathcal{N}=4$ d=4?

Equivalently, does it exist a reference in the literature in which such an algebra is explicitly written out?

Thanks

This post imported from StackExchange Physics at 2015-10-15 08:31 (UTC), posted by SE-user Federico Carta

Comments

What do you mean by $\mathcal{N}=4$ 3d? In standard conventions, it means an algebra with 8 real supercharges and so is the dimensional reduction of $\mathcal{N}=2$ in 4d. I would call the dimensional reduction of $\mathcal{N}=4$ 4d as $\mathcal{N}=8$ in 3d (16 real supercharges). The key point is that the smallest spinor in 3d is the Majorana spinor with two real components.