The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials

Details The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials

2006-08-31

arxiv.org/abs/math/0608773v2

Mathematics

Quantum Algebra

17 pages, no figure; final version, we added the paper by Di Francesco and Zinn-Justin in references

Scientific paper

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.

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