Families of exact solutions of a 2D gravity model minimally coupled to electrodynamics

TL;DR

This paper presents three families of exact solutions for a 2D gravity model coupled with electrodynamics, demonstrating the quantum solvability of particle dynamics on these backgrounds using supersymmetric quantum mechanics.

Contribution

It introduces new exact solutions in a 2D gravity-electrodynamics model and applies supersymmetric quantum mechanics to analyze particle dynamics.

Findings

Three families of exact solutions found in ${ m R}=T$ theory.

Quantum dynamics of neutral bosonic particles is exactly solvable.

Supersymmetric formalism is used to analyze the quantum behavior.

Abstract

Three families of exact solutions for 2-dimensional gravity minimally coupled to electrodynamics are obtained in the context of ${\cal R}=T$ theory. It is shown, by supersymmetric formalism of quantum mechanics, that the quantum dynamics of a neutral bosonic particle on static backgrounds with both varying curvature and electric field is exactly solvable.