The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
Quantum Algebra
2007-05-23 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
We construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type A_{N-1}. They are constructed from non-symmetric Macdonald polynomials through the action of the affine Hecke algebra. As a special case the matrix element of the vertex operators of level one is reproduced.
Keywords
Cite
@article{arxiv.math/0608773,
title = {The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials},
author = {M. Kasatani and Y. Takeyama},
journal= {arXiv preprint arXiv:math/0608773},
year = {2007}
}
Comments
17 pages, no figure; final version, we added the paper by Di Francesco and Zinn-Justin in references