Spin Frame Transformations and Dirac Equations

@article{Noris2021SpinFT,
  title={Spin Frame Transformations and Dirac Equations},
  author={R. Noris and Lorenzo Fatibene},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2021}
}
  • R. Noris, L. Fatibene
  • Published 10 October 2019
  • Mathematics
  • International Journal of Geometric Methods in Modern Physics
We define spin frames, with the aim of extending spin structures from the category of (pseudo-)Riemannian manifolds to the category of spin manifolds with a fixed signature on them, though with no selected metric structure. Because of this softer requirements, transformations allowed by spin frames are more general than usual spin transformations and they usually do not preserve the induced metric structures. We study how these new transformations affect connections both on the spin bundle and… 
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