PIRSA:16030083 Scientific Series Particle Physics

DOI10.48660/16030083

Series: Quantum Fields and Strings

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}}
}

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.

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