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Advances in High Energy Physics
Volume 2017, Article ID 1403937, 8 pages
https://doi.org/10.1155/2017/1403937
Research Article

A Specific Supersymmetric Quantum Mechanical Model: Supervariable Approach

Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, India

Correspondence should be addressed to Aradhya Shukla; moc.liamg@830alkuhsa

Received 6 August 2016; Accepted 5 January 2017; Published 19 February 2017

Academic Editor: Shi-Hai Dong

Copyright © 2017 Aradhya Shukla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

By exploiting the supersymmetric invariant restrictions on the chiral and antichiral supervariables, we derive the off-shell nilpotent symmetry transformations for a specific (0 + 1)-dimensional supersymmetric quantum mechanical model which is considered on a (1, 2)-dimensional supermanifold (parametrized by a bosonic variable and a pair of Grassmannian variables ()). We also provide the geometrical meaning to the symmetry transformations. Finally, we show that this specific SUSY quantum mechanical model is a model for Hodge theory.