A Quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
Jul, 1995
11 pages
Published in:
- Lett.Math.Phys. 38 (1996) 33-51
e-Print:
- q-alg/9507034 [math.QA]
DOI:
Report number:
- YITP-U-95-30,
- DPSU-95-5,
- UT-715
Citations per year
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.References(15)
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