Realizations of q-Deformed Virasoro Algebra | Zendy

Haru-Tada Sato | Zendy

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Realizations of q-Deformed Virasoro Algebra

Author(s) -

Haru-Tada Sato

Publication year - 1993

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.89.531

Subject(s) - virasoro algebra , physics , realization (probability) , poisson bracket , algebra over a field , current algebra , operator product expansion , bracket , poisson algebra , product (mathematics) , extension (predicate logic) , filtered algebra , operator (biology) , poisson distribution , deformation (meteorology) , pure mathematics , mathematical physics , algebra representation , cellular algebra , quantum mechanics , mathematics , statistics , lie algebra , geometry , computer science , engineering , programming language , mechanical engineering , repressor , chemistry , biochemistry , transcription factor , meteorology , gene

We investigate the q-deformed Virasoro algebra presented by Curtright and Zachos. After showing some new results on the central extension and the operator product expansion, we discuss the relation between the q-deformed Virasoro algebra and the Volterra Poisson bracket algebra. The realization in terms of an infinite set of oscillators is also discussed from the viewpoint of a deformation of the Poisson bracket.

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