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arXiv · 2504.12994

Characterization of the $W_{1+\infty}$-n-algebra and applications

Fridolin Melong·Raimar Wulkenhaar
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Abstract

In this paper, we construct the $W_{1+\infty}$-n-algebras in the framework of the generalized quantum algebra. We characterize the $\mathcal{R}(p,q)$-multi-variable $W_{1+\infty}$-algebra and derive its $n$-algebra which is the generalized Lie algebra for $n$ even. Furthermore, we investigate the $\mathcal{R}(p,q)$-elliptic hermitian matrix model and determine a toy model for the generalized quantum $W_{\infty}$ constraints. Also, we deduce particular cases of our results.

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Fridolin Melong, Raimar Wulkenhaar. 2025-04-17. Characterization of the $W_{1+\infty}$-n-algebra and applications. https://arxiv.org/abs/2504.12994

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