Deformation quantizations from vertex operator algebras
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 t...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer Verlag
2020
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| Summary: | 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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