Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown

TL;DR

This paper investigates a supersymmetric fermion lattice model, revealing that its numerous classical ground states are linked to the breakdown of hidden local supersymmetries, providing insights into its symmetry structure.

Contribution

It demonstrates the connection between classical ground states and supersymmetry breakdown in Nicolai's fermion lattice model, highlighting the role of hidden local supersymmetries.

Findings

Classical ground states associated with supersymmetry breakdown

Identification of hidden local supersymmetries in the model

Insight into the symmetry structure of the lattice model

Abstract

We study a supersymmetric fermion lattice model defined by Hermann Nicolai. We show that its infinitely many classical supersymmetric ground states are associated to breakdown of hidden local supersymmetries.