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

TL;DR

This paper develops $ (p,q)$-deformed super Virasoro and Witt algebras, extending quantum algebra frameworks to include superalgebra structures and exploring their algebraic properties and constraints.

Contribution

It introduces new $ (p,q)$-deformed super Virasoro and Witt $n$-algebras, including their super extensions and toy models, expanding the algebraic framework of quantum deformations.

Findings

Constructed super Witt and Virasoro algebras in $ (p,q)$-deformed setting

Developed super $ (p,q)$-deformed Witt and Virasoro $n$-algebras

Derived particular cases from known quantum algebra frameworks

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.