Geometry & Topology Seminar

Lorenzo Fatibene, University of Torino

"Spin frames vs spin structures: A framework for Dirac fields in interaction with gravity"

We relax spin structures to discuss Dirac fields in interaction with gravity and their conservation laws. That is an example of a more general framework, called gauge natural field theories, which accommodates theories which are generally covariant and they have an additional gauge symmetry. The framework is geometrically expressed and it accommodates a geometric formulation of both variational calculus and conservation laws. We shall also briefly compare with other frameworks such as the double cover of frame bundles.

MC 5479