The correlation functions of vertex operators and Macdonald polynomials.
Resource
Journal of Algebraic Combinatorics,25(1),43-56.
Journal
Journal of Algebraic Combinatorics
Pages
43-56
Date Issued
2007-09
Date
2007-09
Author(s)
Cheng, Shun-Jen
Wang, Weiqiang
Abstract
The n-point correlation functions introduced by Bloch and Okounkov have already found several geometric connections and algebraic generalizations. In this note we formulate a q,t-deformation of this n-point function. The key operator used in our formulation arises from the theory of Macdonald polynomials and affords a vertex operator interpretation. We obtain closed formulas for the n-point functions when n = 1,2 in terms of the basic hypergeometric functions. We further generalize the q,t-deformed n-point function to more general vertex operators. © Springer Science+Business Media, LLC 2007.
Type
journal article