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arXiv · 2303.08073

Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra

Fridolin Melong·Raimar Wulkenhaar
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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.

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Fridolin Melong, Raimar Wulkenhaar. 2023-02-27. Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra. https://doi.org/10.1063/5.0150975

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