Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
Mathematical Physics
2012-05-22 v1 Other Condensed Matter
High Energy Physics - Theory
math.MP
Atomic and Molecular Clusters
Abstract
We investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in rational potentials in the constant-mass background are steady against the variation of mass profiles. On the other hand, some physically relevant mass profiles can change the pattern of dynamical N-fold supersymmetry breaking in trigonometric, hyperbolic, and exponential potentials of both type B and type X_2. The latter results open the possibility of detecting experimentally phase transition of N-fold as well as ordinary supersymmetry at a realistic energy scale.
Keywords
Cite
@article{arxiv.1204.0840,
title = {Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry},
author = {Bikashkali Midya and Barnana Roy and Toshiaki Tanaka},
journal= {arXiv preprint arXiv:1204.0840},
year = {2012}
}
Comments
24 pages, no figures, to appear in Journal of Physics A