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What is Spinor Covariant Derivative in Gravity about?

This document discusses the covariant derivative of spinors for a general affine connection that is not necessarily metric compatible. It shows that the covariant derivative is given by the Fock-Ivanenko coefficients with the antisymmetric part of the Lorentz connection. It also derives the relation between the curvature spinor and curvature tensor for a general connection. Finally, it discusses how the projective invariance of the spinor connection allows for the introduction of gauge fields interacting wi

Author

vdb

Language

EN