In differential geometry and mathematical physics, a spin connection is a connection on a spinor bundle. It is induced, in a canonical manner, from the affine connection. It can also be regarded as the gauge field generated by local Lorentz transformations. In some canonical formulations of general relativity, a spin connection is defined on spatial slices and can also be regarded as the gauge field generated by local rotations.
Famous quotes containing the words spin and/or connection:
“In tragic life, God wot,
No villain need be! Passions spin the plot:
We are betrayed by what is false within.”
—George Meredith (18281909)
“The smallest fact about the connection between character and hormonal balance offers more insight into the soul than a five-story idealistic system [of philosophy] does.”
—Robert Musil (18801942)