A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions

Preprint

31 July 1995

preprint
Published by arXiv in arXiv

Abstract

A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Virasoro algebra. Singular vectors are expressed by the Macdonald symmetric functions. This is proved by constructing screening currents acting on the bosonic Fock space.

Keywords

QUANTUM DEFORMED VIRASORO
DEFORMED VIRASORO ALGEBRA
SYMMETRIC FUNCTIONS
QUANTUM DEFORMATION
MACDONALD SYMMETRIC
VIRASORO ALGEBRA
BOSONIC

All Related Versions

Version 1, 1995-07-30, ArXiv
Version 2, 1995-07-31, ArXiv
Version 3, 1995-08-01, ArXiv
Version 4, 1995-08-02, ArXiv
Version 5, 1995-08-06, ArXiv
Published version: Letters in Mathematical Physics, 38 (1), 33.

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