PIRSA:16030083

Deformation quantization and superconformal symmetry in three dimensions

Peelaers, W. (2016). Deformation quantization and superconformal symmetry in three dimensions. Perimeter Institute. https://pirsa.org/16030083

Peelaers, Wolfger. Deformation quantization and superconformal symmetry in three dimensions. Perimeter Institute, Mar. 24, 2016, https://pirsa.org/16030083 

          @misc{ pirsa_PIRSA:16030083,
            doi = {10.48660/16030083},
            url = {https://pirsa.org/16030083},
            author = {Peelaers, Wolfger},
            keywords = {Particle Physics},
            language = {en},
            title = {Deformation quantization and superconformal symmetry in three dimensions},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {mar},
            note = {PIRSA:16030083 see, \url{https://pirsa.org}}
          }

Wolfger Peelaers University of Oxford

Talk number PIRSA:16030083
DOI 10.48660/16030083
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will investigate the structure of certain protected operator algebras that arise in threedimensional N = 4 superconformal field theories. I will show that these algebras can be understood as a quantization of (either of) the half-BPS chiral ring(s). An important feature of this quantization is that it has a preferred basis in which the structure constants of the quantum algebra are equal to the OPE coefficients of the underlying superconformal theory. I will present evidence in examples that for a given choice of quantum algebra (defined up to a certain gauge equivalence), there is at most one choice of canonical basis, and conjecture that this is true in general.