Some Aspects of Supersymmetric Field Theories with Minimal Length and Maximal Momentum

Abstract

We consider a real scalar field and a Majorana fermion field to construct a supersymmetric quantum theory of free fermion fields based on the deformed Heisenberg algebra $[x,p]=i\hbar\big(1-βp+2β^{2}p^{2}\big)$, where ${\hat{I}}^2$ is a deformation parameter. We present a deformed supersymmetric algebra in the presence of minimal length and maximal momentum.

11 pages