Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino

TL;DR

This paper develops a lattice formulation for N=2 twisted supersymmetric models, specifically BF and Wess-Zumino theories, maintaining exact supersymmetry at finite lattice spacing using noncommutativity and superspace formalism.

Contribution

It introduces a novel lattice approach that preserves exact N=2 twisted SUSY by incorporating noncommutativity and superspace techniques, with explicit models demonstrated.

Findings

Exact N=2 twisted SUSY achieved on the lattice for BF and Wess-Zumino models

Supersymmetry preserved at finite lattice spacing in 2D models

Component actions exhibit supercharge exact form

Abstract

We formulate exact supersymmetric models on a lattice. We introduce noncommutativity to ensure the Leibniz rule. With the help of superspace formalism, we give supertransformations which keep the N=2 twisted SUSY algebra exactly. The action is given as a product of (anti)chiral superfields on the lattice. We present BF and Wess-Zumino models as explicit examples of our formulation. Both models have exact N=2 twisted SUSY in 2 dimensional space at a finite lattice spacing. In component fields, the action has supercharge exact form.