Spin frame transformations and Dirac equations
Abstract
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 on the frame bundle and how this reflects on the Dirac equations.
 Publication:

arXiv eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.04634
 Bibcode:
 2019arXiv191004634N
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics
 EPrint:
 23 pages