PIRSA:16090061

Shifted Yangians, loop groups, and (co)products

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2016},
            month = {sep},
            note = {PIRSA:16090061 see, \url{https://scivideos.org/pirsa/16090061}}
          }
          

Alex Weekes University of Saskatchewan

Talk numberPIRSA:16090061
Source RepositoryPIRSA

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.