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arXiv · 2504.13319

Generalized super-$W_{1+\infty}$-$n$-algebra and Landau Problem

Fridolin Melong·Raimar Wulkenhaar
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Abstract

We investigate the $\mathcal{R}(p,q)$-super $n$-bracket and study their properties such that the generalized super Jacobi identity (GJSI). Furthermore, from the $\mathcal{R}(p,q)$-operators in a Supersymmetric Landau problem, we furnish the $\mathcal{R}(p,q)$-super $W_{1+\infty}$ $n$-algebra which obey the generalized super Jacobi identity (GSJI) for $n$ even. Also, we derive the $\mathcal{R}(p,q)$-super $W_{1+\infty}$ sub-$2n$-algebra and deduce particular cases induced by quantum algebras existing in the literature.

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Fridolin Melong, Raimar Wulkenhaar. 2025-04-17. Generalized super-$W_{1+\infty}$-$n$-algebra and Landau Problem. https://arxiv.org/abs/2504.13319

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