3d N=4 Super-Yang-Mills on a Lattice

Understand

In this paper we explore a new approach to studying three-dimensional N=4 super-Yang-Mills on a lattice.

• Our strategy is to complexify the Donaldson-Witten twist of four-dimensional N=2 super-Yang-Mills to make it amenable to a lattice formulation and we find that lattice gauge invariance forces the model to live in at most three dimensions.
• We analyze the renormalization of the lattice theory and show that uncomplexified three-dimensional N=4 super-Yang-Mills can be reached in the continuum limit by supplementing the lattice action with appropriate mass terms.