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arxiv: 1003.1049 · v2 · pith:6SKPRHBInew · submitted 2010-03-04 · 🧮 math.QA · math.CO

Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial

classification 🧮 math.QA math.CO
keywords algebrajacksymmetrictermsvectorsvirasorowhittakerawata-matsuo-odake-shiraishi
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We give explicit formulae of Whittaker vectors for Virasoro algebra in terms of the Jack symmetric polynomials. Our fundamental tools are the Feigin-Fuchs bosonization and the split expression of the Calogero-Sutherland model given by Awata-Matsuo-Odake-Shiraishi.

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