PIRSA:16090061

Shifted Yangians, loop groups, and (co)products

Weekes, A. (2016). Shifted Yangians, loop groups, and (co)products. Perimeter Institute. https://pirsa.org/16090061

Weekes, Alex. Shifted Yangians, loop groups, and (co)products. Perimeter Institute, Sep. 29, 2016, https://pirsa.org/16090061 

          @misc{ pirsa_PIRSA:16090061,
            doi = {10.48660/16090061},
            url = {https://pirsa.org/16090061},
            author = {Weekes, Alex},
            keywords = {Mathematical physics},
            language = {en},
            title = {Shifted Yangians, loop groups, and (co)products},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {sep},
            note = {PIRSA:16090061 see, \url{https://pirsa.org}}
          }

Alex Weekes University of Saskatchewan

DOI 10.48660/16090061
Collection
Talk Type Scientific Series
Subject

Abstract

I'll describe a family of algebras called shifted Yangians, which arise as deformation quantizations of certain spaces related to loop groups.  I'll also describe coproducts for these algebras, which are related to multiplication in the loop group.  Physically, this fits into the story of Coulomb branches associated to 3d N=4 quiver gauge theories, where the above multiplication maps arises by taking products of scattering matrices.