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

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.

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

References in corpus (1)

• On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state

Cited by in corpus (1)

• A_k Generalization of the O(1) Loop Model on a Cylinder: Affine Hecke Algebra, q-KZ Equation and the Sum Rule