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arXiv · 1911.09631

Deformation quantizations from vertex operator algebras

Yiwen Pan·Wolfger Peelaers
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Abstract

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. 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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Yiwen Pan, Wolfger Peelaers. 2019-11-21. Deformation quantizations from vertex operator algebras. https://doi.org/10.1007/jhep06(2020)127

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