On nonlinear gauge theories
Copyright policy )On nonlinear gauge theories
In this note, we study non-linear gauge theories for principal bundles, where the structure group is replaced by a Lie groupoid. We follow the approach of Moerdijk-Mrcun and establish its relation with the existing physics literature. In particular, we derive a new formula for the gauge transformation which closely resembles and generalizes the classical formulas found in Yang Mills gauge theories.
12 pages
- Pennsylvania State University United States
Mathematics - Differential Geometry, Lie algebroids, nonlinear gauge theories, Poisson sigma model, Differential Geometry (math.DG), Yang-Mills and other gauge theories in mechanics of particles and systems, Lie groupoids, Applications of Lie groups to the sciences; explicit representations, principal groupoid bundles, FOS: Mathematics, Topological groupoids (including differentiable and Lie groupoids), Connections (general theory)
Mathematics - Differential Geometry, Lie algebroids, nonlinear gauge theories, Poisson sigma model, Differential Geometry (math.DG), Yang-Mills and other gauge theories in mechanics of particles and systems, Lie groupoids, Applications of Lie groups to the sciences; explicit representations, principal groupoid bundles, FOS: Mathematics, Topological groupoids (including differentiable and Lie groupoids), Connections (general theory)
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