Ground states of Nicolai and ${\mathbb{Z}}_2$ Nicolai models

Abstract

We derive explicit recursions for the ground state generating functions of the one-dimensional Nicolai model and ${\mathbb{Z}}_2$ Nicolai model. Both are examples of lattice models with $\mathcal{N}=2$ supersymmetry. The relations that we obtain for the ${\mathbb{Z}}_2$ model were numerically predicted by Sannomiya, Katsura, and Nakayama.

6 pages