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Pieri rules, vertex operators and Baxter Q-matrix (1510.08709v2)
Published 29 Oct 2015 in math-ph, math.MP, and nlin.SI
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.
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