Lattice formulation of three-dimensional ${\cal N}=4$ gauge theory with fundamental matter fields

TL;DR

This paper develops a lattice formulation for three-dimensional ${ m N}=4$ supersymmetric gauge theory that includes matter fields in the fundamental representation, enabling non-perturbative studies of such theories.

Contribution

It introduces a novel lattice action for 3D ${ m N}=4$ supersymmetric gauge theory with fundamental matter, expanding the tools for studying these theories numerically.

Findings

Lattice action preserves some supersymmetry.

Framework facilitates numerical simulations of 3D ${ m N}=4$ theories.

Potential for exploring non-perturbative phenomena.

Abstract

We construct lattice action for three-dimensional ${\cal N}=4$ supersymmetric gauge theory with matter fields in the fundamental representation.