The origin of the hidden supersymmetry
High Energy Physics - Theory
2014-11-20 v4 Mathematical Physics
math.MP
Quantum Physics
Abstract
The hidden supersymmetry and related tri-supersymmetric structure of the free particle system, the Dirac delta potential problem and the Aharonov-Bohm effect (planar, bound state, and tubule models) are explained by a special nonlocal unitary transformation, which for the usual N=2 supercharges has a nature of Foldy-Wouthuysen transformation. We show that in general case, the bosonized supersymmetry of nonlocal, parity even systems emerges in the same construction, and explain the origin of the unusual N=2 supersymmetry of electron in three-dimensional parity even magnetic field. The observation extends to include the hidden superconformal symmetry.
Keywords
Cite
@article{arxiv.1004.5489,
title = {The origin of the hidden supersymmetry},
author = {Vit Jakubsky and Luis-Miguel Nieto and Mikhail S. Plyushchay},
journal= {arXiv preprint arXiv:1004.5489},
year = {2014}
}
Comments
11 pages, 1 figure. Typos corrected. Published version