The Dirac equation in Taub-NUT space
A. Comtet, P. A. Horvathy

TL;DR
This paper demonstrates an exact solution to the massless Dirac equation in Taub-NUT space using chiral supersymmetry, highlighting the role of dynamical super symmetry in this context.
Contribution
It introduces a method leveraging chiral supersymmetry to solve the Dirac equation in Taub-NUT space and clarifies the emergence of dynamical super symmetry.
Findings
Exact solutions to the massless Dirac equation in Taub-NUT space.
Identification of dynamical super symmetry in the system.
Application of chiral supersymmetry to gravitational instantons.
Abstract
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravitational instanton field is exactly soluble and explain the arisal and the use of the dynamical (super) symmetry.
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