Deformed Supersymmetric Mechanics E. Ivanov, S. Sidorov (Submitted on 29 Jul 2013) Motivated by a recent interest in curved rigid supersymmetries, we construct a new type of N=4, d=1 supersymmetric systems by employing superfields defined on the cosets of the supergroup SU(2|1). The relevant worldline supersymmetry is a deformation of the standard N=4, d=1 supersymmetry by a mass parameter m. As instructive examples we consider, at the classical and quantum levels, the models associated with the supermultiplets (1,4,3) and (2,4,2) and find out interesting interrelations with some previous works on non-standard d=1 supersymmetry. In particular, the d=1$ systems with "weak supersymmetry" are naturally reproduced within our SU(2|1) superfield approach as a subclass of the (1,4,3) models. A generalization to the N=8, d=1$ case implies the supergroup SU(2|2) as the candidate deformed worldline supersymmetry. Comments: 0 + 31 pages Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph) MSC classes: 17B81, 81Q60 Report number: JINR E2-2013-78 Cite as: arXiv:1307.7690 [hep-th] (or arXiv:1307.7690v1 [hep-th] for this version)
Posted on: Wed, 31 Jul 2013 11:28:46 +0000