Journal of High Energy Physics (Jun 2020)
Deformation quantizations from vertex operator algebras
Abstract
Abstract In this note we address the question whether one can recover from the vertex operator algebra associated with a four-dimensional N $$ \mathcal{N} $$ = 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. We answer this question positively if the UV R-symmetries do not mix with accidental (topological) symmetries along the renormalization group flow from the four-dimensional theory on a circle to the three-dimensional theory. If they do mix, we still find a deformation quantization but at different values of its period.
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