Supersymmetric Analysis of Spinning Cosmic String Spacetime Within External fields with Aharonov-Bohm interaction

TL;DR

This paper explores the supersymmetric structure of spinning cosmic string spacetimes with Aharonov-Bohm effects, using exceptional orthogonal polynomials to analyze Dirac systems and potential models.

Contribution

It introduces a novel supersymmetric framework for spinning cosmic strings incorporating exceptional orthogonal polynomials and extends potential models with rational terms.

Findings

Derived new potential models with exceptional orthogonal Laguerre polynomials.

Analyzed energy levels and probability densities for different cosmic string defects.

Connected supersymmetric quantum mechanics with cosmic string spacetime features.

Abstract

The supersymmetric analysis of spinning cosmic string spacetime, involving an electron in magnetic fields, has been conducted. We examined the Dirac system within extended special functions known as exceptional orthogonal polynomials. Corresponding Dirac system is transformed to a relativistic system with a nonlinear isotonic oscillator. Furthermore, new potential models that extend the radial oscillator by adding rational terms are expressed in terms of the exceptional orthogonal Laguerre $X_{m}$ polynomial. The necessary analyses of the potential, energy levels, and probability density graphs are introduced for various cosmic string topological defects and Aharonov-Bohm interaction parameters.