A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions
q-alg
2009-10-28 v5 High Energy Physics - Theory
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9507034,
title = {A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions},
author = {Jun'ichi Shiraishi and Harunobu Kubo and Hidetoshi Awata and Satoru Odake},
journal= {arXiv preprint arXiv:q-alg/9507034},
year = {2009}
}
Comments
15 pages, latex file