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Five-dimensional AGT conjecture and the deformed Virasoro algebra

✍ Scribed by Hidetoshi Awata; Yasuhiko Yamada

Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
464 KB
Volume
2010
Category
Article
ISSN
1126-6708

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A quantum deformation of the Virasoro al
A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
✍ Jun'Ichi Shiraishi; Harunobu Kubo; Hidetoshi Awata; Satoru Odake πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 703 KB

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 screeni