Supersymmetry breakdown for an extended version of the Nicolai supersymmetric fermion lattice model

Abstract

Sannomiya-Katsura-Nakayama have recently studied supersymmetry breakdown for an extension of the Nicolai supersymmetric fermion lattice model. This model called the extended Nicolai model is parameterized by an adjustable constant $g\in \mathbb{R}$ in its defining supercharge, and satisfies $\mathcal{N}=2$ supersymmetry. We show that for any non-zero $g$ the extended Nicolai model breaks supersymmetry dynamically, and the energy density of any homogeneous ground state (that breaks supersymmetry) is strictly positive.

13 pages

References in corpus (2)

• Supersymmetry breaking and Nambu-Goldstone fermions in an extended Nicolai model
• Ergodicity breaking and Localization of the Nicolai supersymmetric fermion lattice model

Cited by in corpus (4)

• Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
• Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown
• Topological Quantum Computation on Supersymmetric Spin Chains
• Emergent spacetime supersymmetry in an interacting Kitaev chain with explicit supersymmetry