Deformed $$\mathcal{N}$$ = 4, d = 1 supersymmetry

Abstract

By this contribution we give a brief account of the recently proposed new models of supersymmetric quantum mechanics [1]. They are associated with the non-standard world-line SU(2|1) supersymmetry which is considered as a deformation of the standard N = 4, d = 1 supersymmetry by a mass parameter m. Employing chiral superfields defined on the cosets of the supergroup SU(2|1), we construct the quantum model on a complex plane and find out interesting interrelations with some previous works on non-standard d = 1 supersymmetry.