Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model

TL;DR

This paper develops a tensor network approach for the 2D lattice $\\mathcal{N}=1$ Wess-Zumino model, providing a deterministic alternative to stochastic methods and validating results against exact solutions for the free case.

Contribution

It introduces a tensor network formulation for the 2D lattice supersymmetric model, avoiding the sign problem inherent in stochastic methods.

Findings

Numerical results match exact solutions for the free case.

Tensor network approach effectively handles supersymmetric lattice models.

Demonstrates potential for studying supersymmetry breaking phenomena.

Abstract

Supersymmetric models with spontaneous supersymmetry breaking suffer from the notorious sign problem in stochastic approaches. By contrast, the tensor network approaches do not have such a problem since they are based on deterministic procedures. In this work, we present a tensor network formulation of the two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model while showing that numerical results agree with the exact solutions for the free case.