spin connection
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A spin connection is a connection on a bundle of orthonormal frames and is covariant with respect to diffeomorphisms and local orthogonal transformations on the frame.
Contents[hide]
1 Introduction
2 Action on vectors
3 Action on spinors
4 Associated covariant exterior derivative
5 Torsion
5.1 Minimal spin connection
5.2 First structure equation
5.3 Covariant exterior derivative
5.4 Non-minimal spin connection
6 Curvature
6.1 Second structure equation
6.2 First Bianchi identity
6.3 Second Bianchi identity
7 References
http://www.mathematics.thetangentbundle.net/wiki/Differential_geometry/spin_connection
High Energy PhDs
A discussion of particle physics and strings
http://particlephd.wordpress.com/2009/02/07/the-spin-connection/
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