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

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

1995-07-30

arxiv.org/abs/q-alg/9507034v5

Lett.Math.Phys. 38 (1996) 33

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex file

Scientific paper

10.1007/BF00398297

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.

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