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arXiv · 2302.00395

Integrability of the Dirac Equation in the Presence of Fluxes on Product Manifolds

Joás Venâncio·Azadeh Mohammadi
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Abstract

This paper aims to show that the Dirac equation coupled to an arbitrary inhomogeneous flux field admits separation in manifolds formed from the direct product of bidimensional spaces. As a direct application of these results, we study a spin-$1/2$ charged particle propagating in a background conformally related to a novel and complex string-inspired model in $D = 10$ spacetime dimension whose base manifold is a product of four two-dimensional unit spheres, $S^{2}$, in the presence of $1$- and $3$-form fluxes.

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Joás Venâncio, Azadeh Mohammadi. 2023-02-01. Integrability of the Dirac Equation in the Presence of Fluxes on Product Manifolds. https://arxiv.org/abs/2302.00395

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