Published July 1, 2023
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Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra

Creators

  • 1. Department of Mathematics, Faculty of Sciences, University of Yaounde 1 1 , P.O. Box 812, Yaounde, Cameroon and , 072 B.P. 50, Cotonou, Republic of Benin
  • 2. International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair) University of Abomey-Calavi 1 , P.O. Box 812, Yaounde, Cameroon and , 072 B.P. 50, Cotonou, Republic of Benin
  • 3. Mathematisches Institut der Westfälischen Wilhelms-Universität 2 , Einsteinstr. 62, 48149 Münster, Germany

Description

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 the literature are deduced.
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