4.5 Article

N=2 SUSY symmetries for a moving charged particle under influence of a magnetic field: Supervariable approach

期刊

ANNALS OF PHYSICS
卷 355, 期 -, 页码 204-216

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2015.02.014

关键词

Supervariable approach; N=2 SUSY quantum mechanical model; N=2 SUSY transformations; Nilpotency property (anti-)chiral supervariables; Geometrical interpretations

资金

  1. GC (RGNF), Govt. of India, New Delhi [F1-17.1/2011-12/RGNF-SC-UTT-708/(SA-III/Website)]

向作者/读者索取更多资源

We exploit the supersymmetric invariant restrictions (SUSYIRs) on the supervariables to derive the nilpotent N = 2 SUSY transformations for the supersymmetric quantum mechanical model of the motion of a charged particle in the X-Y plane (where the magnetic field (Be) is applied along the Z-direction). The supervariables are defined on a (1, 2)-dimensional supermanifold parametrized by a bosonic time variable t and a pair of Grassmannian variables (theta) over bar and ($) over bar (with theta(2) = (theta) over bar (2) = 0, theta(theta) over bar + (theta) over bar theta = 0). We take the (anti-)chiral supervariables for our purpose so that the nilpotency property of the,N = 2 SUSY symmetry transformations could be captured within the framework of supervariable approach. We express the Lagrangian as well as supercharges in terms of the supervariables (that are obtained after the application of the appropriate SUSYIRs) and provide geometrical basis, within the framework of our supervariable approach, for (i) the nilpotency property of the above SUSY transformations (and the corresponding supercharges), and (ii) the SUSY invariance of the Lagrangian. (C) 2015 Elsevier Inc. All rights reserved.

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