We study a tensor network formulation of the two dimensional lattice $\mathcal{N}=1$ Wess$\unicode{x2013}$Zumino model with Wilson derivatives for fermions and bosons. The tensor renormalization group allows us to compute the partition function without the sign problem, and basic ideas to obtain a tensor network for both fermion and scalar boson systems were already given in previous works. While improving them, we have constructed a tensor network representation of the model including the Yukawa-type interaction of Majorana fermions and real scalar bosons. We present some numerical results.

Theoretical Developments