PIRSA:21020041

From gauge fields to direct connections on gauge groupoids

APA

Frabetti, A. (2021). From gauge fields to direct connections on gauge groupoids. Perimeter Institute. https://pirsa.org/21020041

MLA

Frabetti, Alessandra. From gauge fields to direct connections on gauge groupoids. Perimeter Institute, Feb. 24, 2021, https://pirsa.org/21020041

BibTex

          @misc{ pirsa_21020041,
            doi = {10.48660/21020041},
            url = {https://pirsa.org/21020041},
            author = {Frabetti, Alessandra},
            keywords = {Mathematical physics},
            language = {en},
            title = {From gauge fields to direct connections on gauge groupoids},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {feb},
            note = {PIRSA:21020041 see, \url{https://pirsa.org}}
          }
          

Alessandra Frabetti Université Claude Bernard Lyon 1 - Institut Camille Jordan

Abstract

"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."