English

Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra

Quantum Algebra 2023-08-02 v1 Mathematical Physics math.MP

Abstract

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

Keywords

Cite

@article{arxiv.2303.08073,
  title  = {Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra},
  author = {Fridolin Melong and Raimar Wulkenhaar},
  journal= {arXiv preprint arXiv:2303.08073},
  year   = {2023}
}
R2 v1 2026-06-28T09:16:58.469Z