dorsal/arxiv
View SchemaA Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions
| Authors | Jun'ichi Shiraishi, Harunobu Kubo, Hidetoshi Awata, Satoru Odake |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9507034 |
| URL | https://arxiv.org/abs/q-alg/9507034 |
| DOI | 10.1007/BF00398297 |
| Journal | Lett.Math.Phys. 38 (1996) 33 |
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.
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"abstract": "A quantum deformation of the Virasoro algebra is defined. The Kac\ndeterminants at arbitrary levels are conjectured. We construct a bosonic\nrealization of the quantum deformed Virasoro algebra. Singular vectors are\nexpressed by the Macdonald symmetric functions. This is proved by constructing\nscreening currents acting on the bosonic Fock space.",
"arxiv_id": "q-alg/9507034",
"authors": [
"Jun\u0027ichi Shiraishi",
"Harunobu Kubo",
"Hidetoshi Awata",
"Satoru Odake"
],
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"q-alg",
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"doi": "10.1007/BF00398297",
"journal_ref": "Lett.Math.Phys. 38 (1996) 33",
"title": "A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions",
"url": "https://arxiv.org/abs/q-alg/9507034"
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