Deformation quantizations from vertex operator algebras by Pan, Y, Peelaers, W

“…In this note we address the question whether one can recover from the vertex operator algebra associated with a four-dimensional N = 2 superconformal field theory the deformation quantization of the Higgs branch of vacua that appears as a protected subsector in the three-dimensional circle-reduced theory. …”

VOAs and rank-two instanton SCFTs by Beem, C, Meneghelli, C, Peelaers, W, Rastelli, L

“…We analyze the N=2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. …”

Deformation Quantization and Superconformal Symmetry in Three Dimensions by Beem, C, Peelaers, W, Rastelli, L

“…We investigate the structure of certain protected operator algebras that arise in threedimensional N = 4 superconformal field theories. …”