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

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

2010-03-04

arxiv.org/abs/1003.1049v2

Journal of Algebra, 333 (2011) 273--294

Mathematics

Quantum Algebra

revised, 22 pages

Scientific paper

10.1016/j.jalgebra.2011.02.039

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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