Generalized super-W_{1+∞}-n-algebra and Landau Problem

Melong, Fridolin; Wulkenhaar, Raimar

Research article in digital collection | Preprint

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 W1+∞ n-algebra which obey the generalized super Jacobi identity (GSJI) for n even. Also, we derive the R(p,q)-super W1+∞ sub-2n-algebra and deduce particular cases induced by quantum algebras existing in the literature.

Details about the publication

Name of the repositoryarXiv
Article number2504.13319
Statussubmitted / under review
Release year2025 (17/04/2025)
Language in which the publication is writtenEnglish
DOI10.48550/arXiv.2504.13319
Link to the full texthttps://doi.org/10.48550/arXiv.2504.13319
KeywordsQuantum algebra; conformal and W symmetry; n-algebra; supersymmetric Landau problem

Authors from the University of Münster

Wulkenhaar, Raimar
Professur für Reine Mathematik (Prof. Wulkenhaar)