Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra

Melong, Fridolin; Wulkenhaar, Raimar

Research article (journal) | Peer reviewed

Abstract

In this paper, we construct the Heisenberg-Virasoro algebra in the framework of the R(p, q)-deformed quantum algebras. Moreover, the 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 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.