Deformation quantizations from vertex operator algebras

• Main Authors: Yiwen Pan, Wolfger Peelaers
• Format: Article
• Language: English
• Published: SpringerOpen 2020-06-01
• Series: Journal of High Energy Physics
• Subjects: Conformal Field Theory; Supersymmetric Gauge Theory; Extended Supersymmetry
• Online Access: http://link.springer.com/article/10.1007/JHEP06(2020)127

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.