Universality of the R-deformed Heisenberg algebra
Mikhail Plyushchay
TL;DR
This paper explores the universal nature of the R-deformed Heisenberg algebra, linking parabosonic and parafermionic structures, and applying it to describe various particles and symmetries in low-dimensional physics.
Contribution
It demonstrates the universality of the R-deformed Heisenberg algebra across different algebraic frameworks and physical applications in 2+1 dimensions.
Findings
Connection between parabosonic and parafermionic algebras
Application to spin-j fields, anyons, and supersymmetry
Discussion of algebraic aspects of universality
Abstract
We show that deformed Heisenberg algebra with reflection emerging in parabosonic constructions is also related to parafermions. This universality is discussed in different algebraic aspects and is employed for the description of spin-j fields, anyons and supersymmetry in 2+1 dimensions.
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