Characterization of the W_{1+∞}-n-algebra and applications

Melong, Fridolin; Wulkenhaar, Raimar

Research article in digital collection | Preprint

Abstract

In this paper, we construct the W1+∞-n-algebras in the framework of the generalized quantum algebra. We characterize the R(p,q)-multi-variable W1+∞-algebra and derive its n-algebra which is the generalized Lie algebra for n even. Furthermore, we investigate the R(p,q)-elliptic hermitian matrix model and determine a toy model for the generalized quantum W∞ constraints. Also, we deduce particular cases of our results.

Details about the publication

Name of the repositoryarxiv
Article number2504.12994
Statussubmitted / under review
Release year2025 (17/04/2025)
Language in which the publication is writtenEnglish
DOI10.48550/arXiv.2504.12994
Link to the full texthttps://doi.org/10.48550/arXiv.2504.12994
Keywordsquantum algebra; R(p,q)-calculus; conformal and W symmetry; n-algebra; matrix models.

Authors from the University of Münster

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