Parabosons, Virasoro-type algebras and their deformations

1994/05/07 by R Chakrabarti, R. Chakrabarti, R. Jagannathan +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · doi:10.1088/0305-4470/27/9/007

openalex publication_date 1994/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Two-parameter (p,q) deformation of a parabosonic algebra underlying the two-particle Calogero model is considered. The Fock-space representation, Bargmann-Fock representation, coherent states, spectrum-generating algebra and a hidden supersymmetry are discussed. The paraboson algebra induces a centreless Virasoro-type algebra with a doubling of the space of generators. A two-parameter deformation of this Virasoro-type algebra is studied.

Citations

• Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras

Related

• HIDDEN NONLINEAR SUPERSYMMETRIES IN PURE PARABOSONIC SYSTEMS
• A ℏ-deformed Virasoro Algebra as Hidden Symmetry of the Restricted sine-Gordon Model
• Virasoro-type Symmetries in Solvable Models
• On the Calogero model with negative harmonic term
• Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type