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zbMATH Open
Article . 2023
Data sources: zbMATH Open
Journal of Mathematical Physics
Article . 2023 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2023
License: CC BY
Data sources: Datacite
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Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra

Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
Authors: Fridolin Melong; Raimar Wulkenhaar;

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 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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Keywords

Virasoro and related algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Coherent states, Mathematical Physics (math-ph), Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green