Supersymmetric exploration of external field effects on spinning cosmic strings with Aharonov–Bohm interaction

Authors

BİLGEHAN BARIŞ ÖNERFollow
ÖZLEM YEŞİLTAŞFollow

Abstract

We have conducted a supersymmetric analysis of the spacetime of a spinning cosmic string, focusing on the behavior of an electron in magnetic fields. Our study involves examining the Dirac system through the lens of exceptional orthogonal polynomials, specifically the exceptional orthogonal Laguerre $X_{m}$ polynomials. This analysis transforms the Dirac system into a relativistic system with a nonlinear isotonic oscillator. Additionally, we introduce new potential models that extend the radial oscillator by incorporating rational terms. Comprehensive analyses of the potential, energy levels, and probability density graphs are provided for various topological defects of cosmic strings and different parameters of the Aharonov-Bohm interaction. Recent studies on the quantum dynamics of fermions in the presence of topological defects, such as those by \cite{hassan} and \cite{silva2}, set the stage for the supersymmetric framework explored in this paper, which extends their results through a detailed analysis of exceptional orthogonal polynomials.

Author ORCID Identifier

BİLGEHAN ÖNER: 0000-0001-9440-2235

ÖZLEM YEŞİLTAŞ: 0000-0001-7041-4725

DOI

10.55730/1300-0101.2773

Keywords

cosmic strings, supersymmetry, fermion, Aharonov-Bohm

First Page

28

Last Page

43

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ÖNER, BİLGEHAN BARIŞ and YEŞİLTAŞ, ÖZLEM (2025) "Supersymmetric exploration of external field effects on spinning cosmic strings with Aharonov–Bohm interaction," Turkish Journal of Physics: Vol. 49: No. 2, Article 3. https://doi.org/10.55730/1300-0101.2773
Available at: https://journals.tubitak.gov.tr/physics/vol49/iss2/3