Abstract
In this note we address the question whether one can recover from the vertex operator algebra associated with a four-dimensional \( \mathcal{N} \) = 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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Pan, Y., Peelaers, W. Deformation quantizations from vertex operator algebras. J. High Energ. Phys. 2020, 127 (2020). https://doi.org/10.1007/JHEP06(2020)127
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DOI: https://doi.org/10.1007/JHEP06(2020)127