Pieri rules, vertex operators and Baxter Q-matrix
Mathematical Physics
2016-01-13 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We use the Pieri rules to recover the q-boson model and show it is equivalent to a discretized version of the relativistic Toda chain. We identify its semi infinite transfer matrix and the corresponding Baxter Q-matrix with half vertex operators related by an {\omega}-duality transformation. We observe that the scalar product of two higher spin XXZ wave functions can be expressed with a Gaudin determinant.
Cite
@article{arxiv.1510.08709,
title = {Pieri rules, vertex operators and Baxter Q-matrix},
author = {Antoine Duval and Vincent Pasquier},
journal= {arXiv preprint arXiv:1510.08709},
year = {2016}
}
Comments
misprints corrected. An example added