Feb 22 – 25, 2021
Perimeter Institute
America/Toronto timezone

From gauge fields to direct connections on gauge groupoids

Feb 24, 2021, 11:00 AM
Perimeter Institute

Perimeter Institute


Alessandra Frabetti (Université Claude Bernard Lyon 1)


"Geometrically, a gauge theory consists of a spinor bundle describing the matter fields, associated to some principal bundle whose gauge group rules the internal symmetries of the system. The gauge fields are the local expressions of a principal connection inducing a covariant derivative which settles the dynamics of the matter fields.
Principal connections can be seen as parallel displacements on the fibres of the principal bundle along curves on the base manifold. In this talk I shortly present a generalisation of gauge fields given by direct connections on gauge groupoids, based on a work in progress with S. Azzali, Y. Boutaib, A. Garmendia and S. Paycha."

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