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(1-β p+2β2p2), where β is a deformation parameter. We present a deformed supersymmetric algebra in the presence of minimal length and maximal momentum.

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