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

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.

References in corpus (2)

• n-ary algebras: a review with applications
• Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras

Cited by in corpus (1)

• Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra