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A connection on a principal bundle, equivalently a suitable Lie-algebra-valued one-form.
wp-principal_connectionnlab-principal_connectionEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A principal connection is additional equivariant horizontal-distribution or connection-form data.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-principal_connectionnlab-principal_connectionEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A connection canonically determines its curvature two-form.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-curvature_formnlab-curvature_formThis is an authored directed relation from the source endpoint to the target endpoint.
Gauge potentials are local representatives of principal connections.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-gauge_field_theorynlab-physics-gauge_fieldwp-principal_connectionnlab-principal_connection