Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry

TL;DR

This paper studies how position-dependent mass profiles influence the dynamical breaking of N-fold supersymmetry in various models, revealing conditions under which supersymmetry remains stable or is broken, with implications for experimental detection.

Contribution

It demonstrates that certain mass profiles can alter the pattern of N-fold supersymmetry breaking in specific potentials, expanding understanding of supersymmetry behavior under variable mass conditions.

Findings

N-fold supersymmetry in rational potentials remains stable against mass profile variations.

Some physically relevant mass profiles can change supersymmetry breaking patterns in trigonometric, hyperbolic, and exponential potentials.

Results suggest potential for experimental detection of supersymmetry phase transitions.

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.