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arXiv · 2206.06483

$\mathcal{R}(p,q)$-deformed super Virasoro $n$-algebra

Fridolin Melong
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Abstract

In this paper, we construct the super Witt algebra and super Virasoro algebra in the framework of the $\mathcal{R}(p,q)$-deformed quantum algebras. Moreover, we perform the super $\mathcal{R}(p,q)$-deformed Witt $n$-algebra, the $\mathcal{R}(p,q)$-deformed Virasoro $n$-algebra and discuss the super $\mathcal{R}(p,q)$-Virasoro $n$-algebra ($n$ even). Besides, we define and construct another super $\mathcal{R}(p,q)$-deformed Witt $n$-algebra and study a toy model for the super $\mathcal{R}(p,q)$-Virasoro constraints. Relevant particular cases induced from the quantum algebras known in the literature are deduced from the formalism developped.

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Fridolin Melong. 2022-06-10. $\mathcal{R}(p,q)$-deformed super Virasoro $n$-algebra. https://doi.org/10.1142/s0129055x22500386

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