Generalized super-W_1+∞-n-algebra and Landau Problem

2025/04/17 by Melong, Fridolin, Wulkenhaar, Raimar
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2504.13319

Abstract

We investigate the R(p,q)-super n-bracket and study their properties such that the generalized super Jacobi identity (GJSI). Furthermore, from the R(p,q)-operators in a Supersymmetric Landau problem, we furnish the R(p,q)-super W_1+∞ n-algebra which obey the generalized super Jacobi identity (GSJI) for n even. Also, we derive the R(p,q)-super W_1+∞ sub-2n-algebra and deduce particular cases induced by quantum algebras existing in the literature.

Citations

• Conformal super Virasoro algebra: matrix model and quantum deformed algebra
• Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras
• R(p,q)-deformed conformal Virasoro algebra
• Super w ∞ 3-algebra
• Classification of simple linearly compact n-Lie superalgebras
• Ternutator Identities
• Classical and Quantal Ternary Algebras
• w∞3-algebra
• Ternary Virasoro - Witt Algebra
• Quantum Hall Liquid on a Noncommutative Superplane
• W_∞ algebra in the integer quantum Hall effects
• Fermions in the Lowest Landau Level: Bosonization, W_∞ Algebra, Droplets, Chiral Boson
• Generalized Hamiltonian Dynamics

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• Quantum Superspace and Bloch Electron Systems with Zeeman Effects: *-Bracket Formalism for Super Curtright-Zachos Algebras