Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra

Abstract

In this paper, we construct the Heisenberg-Virasoro algebra in the framework of the $\mathcal{R}(p,q)$-deformed quantum algebras. Moreover, the $\mathcal{R}(p,q)$-Heisenberg-Witt $n$-algebras is also investigated. Furthermore, we generalize the notion of the elliptic hermitian matrix models. We use the constraints to evaluate the $\mathcal{R}(p,q)$-differential operators of the Virasoro algebra and generalize it to higher order differential operators. Particular cases corresponding to quantum algebras existing in literature are deduced.

References in corpus (4)

• Two-parameter quantum algebras, twin-basic numbers, and associated generalized hypergeometric series
• Elliptic $q,t$ matrix models
• Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras
• $\mathcal{R}(p,q)$-deformed super Virasoro $n$-algebra