Supersymmetry Breaking in a Generalized Nicolai Model with Fermion Pairing

Autor:	Miura, Urei, Totsuka, Keisuke
Rok vydání:	2023
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Statistical Mechanics High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	We introduce a supersymmetric lattice fermion model that contains both fermion pairing and the interacting Nicolai model. This model possesses a single control parameter, $g$, introduced through the anticommutator of the supersymmetry generators (supercharge), and it is shown that supersymmetry is broken in both finite and infinite systems as long as $g$ is finite. Additionally, the single-mode approximation is employed to establish an upper bound on the dispersion relation of Nambu-Goldstone (NG) fermions, demonstrating their gaplessness. Finally, it is shown, through numerical and analytic calculations, that the anticipated extensive ground-state degeneracy and a zero-energy flat band does not occur for generic values of the parameter $g$. Comment: 13 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.03346 Zobrazit plný text záznamu View this record from Arxiv