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arXiv · 1804.10884

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

Hajime Moriya
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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 ${{\cal{N}}}=2$ 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.

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Hajime Moriya. 2018-04-29. Supersymmetry breakdown for an extended version of the Nicolai supersymmetric fermion lattice model. https://doi.org/10.1103/physrevd.98.015018

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