Ramond sector of superconformal algebras via quantum reduction
Boris Noyvert
TL;DR
This paper explores the quantum Hamiltonian reduction of affine superalgebras in the Ramond sector, deriving determinant formulas and extending previous results to twisted cases for low-rank Lie superalgebras.
Contribution
It generalizes Kac and Wakimoto's work to include twisted affine superalgebras and provides detailed descriptions and formulas for the Ramond sector of superconformal W-algebras.
Findings
Derived determinant formulas for Ramond sectors.
Extended classification to all rank ≤ 2 Lie superalgebras.
Generalized previous results to twisted cases.
Abstract
Quantum hamiltonian reduction of affine superalgebras is studied in the twisted case. The Ramond sector of "minimal" superconformal W-algebras is described in detail, the determinant formula is obtained. Extensive list of examples includes all the simple Lie superalgebras of rank up to 2. The paper generalizes the results of Kac and Wakimoto (math-ph/0304011) to the twisted case.
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