A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
- Cite this article as:
- Shiraishi, J., Kubo, H., Awata, H. et al. Lett Math Phys (1996) 38: 33. doi:10.1007/BF00398297
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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.