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

摘要

We give an explicit formula of Whittaker vector for Virasoro algebra in terms of the Jack symmetric functions. Our fundamental tools are the Feigin-Fuchs bosonization and the split expression of the Calogero-Sutherland model given by Awata, Matsuo, Odake and Shiraishi.