PIRSA:20040084

Coulomb branches for quaternionic representations

Teleman, C. (2020). Coulomb branches for quaternionic representations. Perimeter Institute. https://pirsa.org/20040084

Teleman, Constantin. Coulomb branches for quaternionic representations. Perimeter Institute, Apr. 09, 2020, https://pirsa.org/20040084 

          @misc{ pirsa_PIRSA:20040084,
            doi = {10.48660/20040084},
            url = {https://pirsa.org/20040084},
            author = {Teleman, Constantin},
            keywords = {Mathematical physics},
            language = {en},
            title = {Coulomb branches for quaternionic representations},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {apr},
            note = {PIRSA:20040084 see, \url{https://pirsa.org}}
          }

Constantin Teleman University of California, Berkeley

DOI 10.48660/20040084
Collection
Talk Type Scientific Series
Subject

Abstract

I will review the construction of Coulomb branches in 3D gauge theory for a compact Lie group G and a quaternionic  representation E. In the case when E is polarized, these branches are determined by topological boundary conditions built from the gauged A-model of the two polar halves of E. No analogue of this is apparent in the absence of a polarization, nonetheless the Coulomb branch can be defined by the use of a ‘quantum’ square root of E (related to the Spin representation). These branches ought to be part of a 3D topological field theory, but that is only apparent in special cases.