Covariant Spin Structure
arXiv:gr-qc/9711043 · doi:10.1063/1.532496
Abstract
Every Dirac spin structure on a world manifold is associated with a certain gravitational field, and is not preserved under general covariant transformations. We construct a composite spinor bundle such that any Dirac spin structure is its subbundle, and this bundle admits general covariant transformations.
26 pages, LaTeX
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- On the BV quantization of gauge gravitation theory
- Geometric Origin of Physical Constants in a Kaluza-Klein Tetrad Model
- Axiomatic classical (prequantum) field theory. Jet formalism
- Euler-Lagrange equations for functionals defined on Fréchet manifolds
- Classical Higgs fields
- Composite bundles in Clifford algebras. Gravitation theory. Part I
- Lecture on Gauge Gravitation Theory. Gravity as a Higgs Field
- Theory of Classical Higgs Fields. III. Metric-affine gauge theory